400989960 has 512 divisors, whose sum is σ = 1658880000. Its totient is φ = 84188160.

The previous prime is 400989937. The next prime is 400989973. The reversal of 400989960 is 69989004.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6796411 + ... + 6796469.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^400989960 is an apocalyptic number.

400989960 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 400989960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440000).

400989960 is an abundant number, since it is smaller than the sum of its proper divisors (1257890040).

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

400989960 is a wasteful number, since it uses less digits than its factorization.

400989960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 400989960 is about 20024.7337060946. The cubic root of 400989960 is about 737.4136396052.

The spelling of 400989960 in words is "four hundred million, nine hundred eighty-nine thousand, nine hundred sixty".