400375296 has 240 divisors, whose sum is σ = 1292662800. Its totient is φ = 118554624.

The previous prime is 400375267. The next prime is 400375301. The reversal of 400375296 is 692573004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400375296.

It is a congruent number.

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, 1488250 + ... + 1488518.

It is an arithmetic number, because the mean of its divisors is an integer number (5386095).

Almost surely, 2^400375296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646331400).

400375296 is an abundant number, since it is smaller than the sum of its proper divisors (892287504).

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

400375296 is a wasteful number, since it uses less digits than its factorization.

400375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 400375296 is about 20009.3802002961. The cubic root of 400375296 is about 737.0366614125.

The spelling of 400375296 in words is "four hundred million, three hundred seventy-five thousand, two hundred ninety-six".