400468320 has 768 divisors, whose sum is σ = 1828915200. Its totient is φ = 79626240.

The previous prime is 400468297. The next prime is 400468349. The reversal of 400468320 is 23864004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9767500 + ... + 9767540.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^400468320 is an apocalyptic number.

400468320 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 400468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

400468320 is an abundant number, since it is smaller than the sum of its proper divisors (1428446880).

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

400468320 is a wasteful number, since it uses less digits than its factorization.

400468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400468320 is about 20011.7045750731. The cubic root of 400468320 is about 737.0937385180.

The spelling of 400468320 in words is "four hundred million, four hundred sixty-eight thousand, three hundred twenty".