400296960 has 528 divisors, whose sum is σ = 1701400896. Its totient is φ = 84934656.

The previous prime is 400296931. The next prime is 400296961. The reversal of 400296960 is 69692004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400296961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5483484 + ... + 5483556.

Almost surely, 2^400296960 is an apocalyptic number.

400296960 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 400296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850700448).

400296960 is an abundant number, since it is smaller than the sum of its proper divisors (1301103936).

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

400296960 is a wasteful number, since it uses less digits than its factorization.

400296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 400296960 is about 20007.4226226168. The cubic root of 400296960 is about 736.9885896238.

The spelling of 400296960 in words is "four hundred million, two hundred ninety-six thousand, nine hundred sixty".