562912000 has 216 divisors, whose sum is σ = 1635772320. Its totient is φ = 192460800.

The previous prime is 562911989. The next prime is 562912057. The reversal of 562912000 is 219265.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 1567821 + ... + 1568179.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^562912000 is an apocalyptic number.

562912000 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 562912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

562912000 is an abundant number, since it is smaller than the sum of its proper divisors (1072860320).

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

562912000 is an equidigital number, since it uses as much as digits as its factorization.

562912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 562912000 is about 23725.7665840326. The cubic root of 562912000 is about 825.6833028939.

The spelling of 562912000 in words is "five hundred sixty-two million, nine hundred twelve thousand".