856032048400 has 45 divisors (see below), whose sum is σ = 2056661454063. Its totient is φ = 342405417600.

The previous prime is 856032048397. The next prime is 856032048439. The reversal of 856032048400 is 4840230658.

The square root of 856032048400 is 925220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 263156688144 + 592875360256 = 512988^2 + 769984^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18481270 + ... + 18527530.

Almost surely, 2^856032048400 is an apocalyptic number.

856032048400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

856032048400 is the 925220-th square number.

It is an amenable number.

856032048400 is an abundant number, since it is smaller than the sum of its proper divisors (1200629405663).

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

856032048400 is an frugal number, since it uses more digits than its factorization.

856032048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92540 (or 46268 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 856032048400 in words is "eight hundred fifty-six billion, thirty-two million, forty-eight thousand, four hundred".