562348800 has 324 divisors, whose sum is σ = 2168062624. Its totient is φ = 138240000.

The previous prime is 562348793. The next prime is 562348819. The reversal of 562348800 is 8843265.

It is a super-2 number, since 2×562348800² = 632472345722880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748425 + ... + 749175.

Almost surely, 2^562348800 is an apocalyptic number.

562348800 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 562348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084031312).

562348800 is an abundant number, since it is smaller than the sum of its proper divisors (1605713824).

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

562348800 is a wasteful number, since it uses less digits than its factorization.

562348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 562348800 is about 23713.8946611475. The cubic root of 562348800 is about 825.4078424252.

The spelling of 562348800 in words is "five hundred sixty-two million, three hundred forty-eight thousand, eight hundred".