400529920 has 240 divisors, whose sum is σ = 1164354048. Its totient is φ = 131604480.

The previous prime is 400529917. The next prime is 400529929. The reversal of 400529920 is 29925004.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400529929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3888589 + ... + 3888691.

Almost surely, 2^400529920 is an apocalyptic number.

400529920 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 400529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582177024).

400529920 is an abundant number, since it is smaller than the sum of its proper divisors (763824128).

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

400529920 is a wasteful number, since it uses less digits than its factorization.

400529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 400529920 is about 20013.2436151664. The cubic root of 400529920 is about 737.1315298107.

The spelling of 400529920 in words is "four hundred million, five hundred twenty-nine thousand, nine hundred twenty".