400258675600 has 135 divisors (see below), whose sum is σ = 1118868483537. Its totient is φ = 137201178240.

The previous prime is 400258675567. The next prime is 400258675627. The reversal of 400258675600 is 6576852004.

The square root of 400258675600 is 632660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144093123216 + 256165552384 = 379596^2 + 506128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88570141 + ... + 88574659.

Almost surely, 2^400258675600 is an apocalyptic number.

400258675600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

400258675600 is the 632660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400258675600

400258675600 is an abundant number, since it is smaller than the sum of its proper divisors (718609807937).

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

400258675600 is an frugal number, since it uses more digits than its factorization.

400258675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9070 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 400258675600 in words is "four hundred billion, two hundred fifty-eight million, six hundred seventy-five thousand, six hundred".