400756320 has 288 divisors, whose sum is σ = 1432922400. Its totient is φ = 101916672.

The previous prime is 400756319. The next prime is 400756333. The reversal of 400756320 is 23657004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502836 + ... + 4502924.

It is an arithmetic number, because the mean of its divisors is an integer number (4975425).

Almost surely, 2^400756320 is an apocalyptic number.

400756320 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 400756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716461200).

400756320 is an abundant number, since it is smaller than the sum of its proper divisors (1032166080).

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

400756320 is a wasteful number, since it uses less digits than its factorization.

400756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 400756320 is about 20018.8990706282. The cubic root of 400756320 is about 737.2703917996.

The spelling of 400756320 in words is "four hundred million, seven hundred fifty-six thousand, three hundred twenty".