400644960 has 96 divisors (see below), whose sum is σ = 1269354240. Its totient is φ = 106219008.

The previous prime is 400644913. The next prime is 400644983. The reversal of 400644960 is 69446004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83589 + ... + 88251.

It is an arithmetic number, because the mean of its divisors is an integer number (13222440).

Almost surely, 2^400644960 is an apocalyptic number.

400644960 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 400644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634677120).

400644960 is an abundant number, since it is smaller than the sum of its proper divisors (868709280).

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

400644960 is a wasteful number, since it uses less digits than its factorization.

400644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 400644960 is about 20016.1175056503. The cubic root of 400644960 is about 737.2020959029.

The spelling of 400644960 in words is "four hundred million, six hundred forty-four thousand, nine hundred sixty".