404578560 has 72 divisors (see below), whose sum is σ = 1292135040. Its totient is φ = 107886592.

The previous prime is 404578523. The next prime is 404578567. The reversal of 404578560 is 65875404.

It is a super-2 number, since 2×404578560² = 327367622423347200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404578567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48840 + ... + 56519.

It is an arithmetic number, because the mean of its divisors is an integer number (17946320).

Almost surely, 2^404578560 is an apocalyptic number.

404578560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404578560 is an abundant number, since it is smaller than the sum of its proper divisors (887556480).

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

404578560 is a wasteful number, since it uses less digits than its factorization.

404578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105383 (or 105369 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 404578560 is about 20114.1383111482. The cubic root of 404578560 is about 739.6069010295.

The spelling of 404578560 in words is "four hundred four million, five hundred seventy-eight thousand, five hundred sixty".