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406454928 = 243112632927
BaseRepresentation
bin11000001110100…
…000001010010000
31001022211001100020
4120032200022100
51313023024203
6104155423440
713033544535
oct3016401220
91038731306
10406454928
11199484670
12b4154b80
1366291699
143bda4d8c
1525a3b153
hex183a0290

406454928 has 80 divisors (see below), whose sum is σ = 1150212096. Its totient is φ = 122657920.

The previous prime is 406454927. The next prime is 406454947. The reversal of 406454928 is 829454604.

It is a self number, because there is not a number n which added to its sum of digits gives 406454928.

It is not an unprimeable number, because it can be changed into a prime (406454927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137401 + ... + 140327.

Almost surely, 2406454928 is an apocalyptic number.

406454928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406454928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575106048).

406454928 is an abundant number, since it is smaller than the sum of its proper divisors (743757168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406454928 is a wasteful number, since it uses less digits than its factorization.

406454928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 406454928 is about 20160.7273678308. The cubic root of 406454928 is about 740.7485291719.

The spelling of 406454928 in words is "four hundred six million, four hundred fifty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 263 264 526 528 789 1052 1578 2104 2893 2927 3156 4208 5786 5854 6312 8679 8781 11572 11708 12624 17358 17562 23144 23416 32197 34716 35124 46288 46832 64394 69432 70248 96591 128788 138864 140496 193182 257576 386364 515152 769801 772728 1539602 1545456 2309403 3079204 4618806 6158408 8467811 9237612 12316816 16935622 18475224 25403433 33871244 36950448 50806866 67742488 101613732 135484976 203227464 406454928