400906880 has 192 divisors, whose sum is σ = 1093962240. Its totient is φ = 140236800.

The previous prime is 400906873. The next prime is 400906907. The reversal of 400906880 is 88609004.

It is a self number, because there is not a number n which added to its sum of digits gives 400906880.

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, 2400557 + ... + 2400723.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720).

Almost surely, 2^400906880 is an apocalyptic number.

400906880 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 400906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

400906880 is an abundant number, since it is smaller than the sum of its proper divisors (693055360).

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

400906880 is a wasteful number, since it uses less digits than its factorization.

400906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 400906880 is about 20022.6591640571. The cubic root of 400906880 is about 737.3627085239.

The spelling of 400906880 in words is "four hundred million, nine hundred six thousand, eight hundred eighty".