400924080 has 100 divisors (see below), whose sum is σ = 1392491232. Its totient is φ = 106911360.

The previous prime is 400924079. The next prime is 400924129. The reversal of 400924080 is 80429004.

It is a super-3 number, since 3×400924080³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24456 + ... + 37415.

Almost surely, 2^400924080 is an apocalyptic number.

400924080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400924080 is an abundant number, since it is smaller than the sum of its proper divisors (991567152).

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

400924080 is a wasteful number, since it uses less digits than its factorization.

400924080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61896 (or 61881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400924080 is about 20023.0886728297. The cubic root of 400924080 is about 737.3732533311.

The spelling of 400924080 in words is "four hundred million, nine hundred twenty-four thousand, eighty".