562852800 has 420 divisors, whose sum is σ = 2137979976. Its totient is φ = 145152000.

The previous prime is 562852781. The next prime is 562852817. The reversal of 562852800 is 8258265.

562852800 is a `hidden beast` number, since 5 + 628 + 5 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5572750 + ... + 5572850.

Almost surely, 2^562852800 is an apocalyptic number.

562852800 is a gapful number since it is divisible by the number (50) 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 562852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068989988).

562852800 is an abundant number, since it is smaller than the sum of its proper divisors (1575127176).

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

562852800 is a wasteful number, since it uses less digits than its factorization.

562852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 562852800 is about 23724.5189624574. The cubic root of 562852800 is about 825.6543568862.

The spelling of 562852800 in words is "five hundred sixty-two million, eight hundred fifty-two thousand, eight hundred".