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400304420 = 225231994373
BaseRepresentation
bin10111110111000…
…010100100100100
31000220020120102122
4113313002210210
51304434220140
6103415525112
712630350165
oct2767024444
91026216378
10400304420
11195a636aa
12b2089798
1364c1a029
143b24376c
1525223ab5
hex17dc2924

400304420 has 48 divisors (see below), whose sum is σ = 881798400. Its totient is φ = 152355456.

The previous prime is 400304419. The next prime is 400304447. The reversal of 400304420 is 24403004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89354 + ... + 93726.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2400304420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440899200).

400304420 is an abundant number, since it is smaller than the sum of its proper divisors (481493980).

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

400304420 is a wasteful number, since it uses less digits than its factorization.

400304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 400304420 is about 20007.6090525580. The cubic root of 400304420 is about 736.9931678089.

Adding to 400304420 its reverse (24403004), we get a palindrome (424707424).

The spelling of 400304420 in words is "four hundred million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 199 230 398 460 796 995 1990 3980 4373 4577 8746 9154 17492 18308 21865 22885 43730 45770 87460 91540 100579 201158 402316 502895 870227 1005790 1740454 2011580 3480908 4351135 8702270 17404540 20015221 40030442 80060884 100076105 200152210 400304420