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460228428 = 2232111162193
BaseRepresentation
bin11011011011101…
…000011101001100
31012002000000201100
4123123220131030
51420304302203
6113400143100
714255606562
oct3333503514
91162000640
10460228428
11216872480
1210a167a90
137446b51a
14451a1a32
152a60dea3
hex1b6e874c

460228428 has 36 divisors (see below), whose sum is σ = 1269115848. Its totient is φ = 139463040.

The previous prime is 460228423. The next prime is 460228429. The reversal of 460228428 is 824822064.

It is a happy number.

460228428 is a `hidden beast` number, since 4 + 6 + 0 + 228 + 428 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460228392 and 460228401.

It is not an unprimeable number, because it can be changed into a prime (460228421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580701 + ... + 581492.

It is an arithmetic number, because the mean of its divisors is an integer number (35253218).

Almost surely, 2460228428 is an apocalyptic number.

It is an amenable number.

460228428 is an abundant number, since it is smaller than the sum of its proper divisors (808887420).

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

460228428 is a wasteful number, since it uses less digits than its factorization.

460228428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162214 (or 1162209 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 460228428 is about 21452.9351837924. The cubic root of 460228428 is about 772.0720198232.

The spelling of 460228428 in words is "four hundred sixty million, two hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1162193 2324386 3486579 4648772 6973158 10459737 12784123 13946316 20919474 25568246 38352369 41838948 51136492 76704738 115057107 153409476 230114214 460228428