842256400 has 30 divisors (see below), whose sum is σ = 2023521962. Its totient is φ = 336902400.

The previous prime is 842256379. The next prime is 842256427. The reversal of 842256400 is 4652248.

It can be written as a sum of positive squares in 3 ways, for example, as 207821056 + 634435344 = 14416^2 + 25188^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1052421 + ... + 1053220.

Almost surely, 2^842256400 is an apocalyptic number.

842256400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842256400 is an abundant number, since it is smaller than the sum of its proper divisors (1181265562).

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

842256400 is a wasteful number, since it uses less digits than its factorization.

842256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105659 (or 2105648 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 842256400 is about 29021.6539845681. The cubic root of 842256400 is about 944.3828823643.

The spelling of 842256400 in words is "eight hundred forty-two million, two hundred fifty-six thousand, four hundred".