400426920 has 96 divisors (see below), whose sum is σ = 1314144000. Its totient is φ = 105734016.

The previous prime is 400426909. The next prime is 400426937. The reversal of 400426920 is 29624004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31681 + ... + 42479.

It is an arithmetic number, because the mean of its divisors is an integer number (13689000).

Almost surely, 2^400426920 is an apocalyptic number.

400426920 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 400426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657072000).

400426920 is an abundant number, since it is smaller than the sum of its proper divisors (913717080).

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

400426920 is a wasteful number, since it uses less digits than its factorization.

400426920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10919 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 400426920 is about 20010.6701536955. The cubic root of 400426920 is about 737.0683376471.

The spelling of 400426920 in words is "four hundred million, four hundred twenty-six thousand, nine hundred twenty".