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400040440 = 23519618629
BaseRepresentation
bin10111110110000…
…010000111111000
31000212202011022121
4113312002013320
51304402243230
6103410131024
712625200442
oct2766020770
91025664277
10400040440
111958a3338
12b1b80a74
1364b56b27
143b1b5492
15251c077a
hex17d821f8

400040440 has 64 divisors (see below), whose sum is σ = 963108000. Its totient is φ = 149091840.

The previous prime is 400040429. The next prime is 400040441. The reversal of 400040440 is 44040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040441) 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, 42046 + ... + 50674.

Almost surely, 2400040440 is an apocalyptic number.

400040440 is a gapful number since it is divisible by the number (40) 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 400040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481554000).

400040440 is an abundant number, since it is smaller than the sum of its proper divisors (563067560).

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

400040440 is a wasteful number, since it uses less digits than its factorization.

400040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400040440 is about 20001.0109744483. The cubic root of 400040440 is about 736.8311292636.

Adding to 400040440 its reverse (44040004), we get a palindrome (444080444).

The spelling of 400040440 in words is "four hundred million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 488 610 760 1159 1220 2318 2440 4636 5795 8629 9272 11590 17258 23180 34516 43145 46360 69032 86290 163951 172580 327902 345160 526369 655804 819755 1052738 1311608 1639510 2105476 2631845 3279020 4210952 5263690 6558040 10001011 10527380 20002022 21054760 40004044 50005055 80008088 100010110 200020220 400040440