562968000 has 336 divisors, whose sum is σ = 2303580864. Its totient is φ = 128563200.

The previous prime is 562967959. The next prime is 562968011. The reversal of 562968000 is 869265.

562968000 is a `hidden beast` number, since 562 + 96 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 503442 + ... + 504558.

Almost surely, 2^562968000 is an apocalyptic number.

562968000 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 562968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151790432).

562968000 is an abundant number, since it is smaller than the sum of its proper divisors (1740612864).

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

562968000 is a wasteful number, since it uses less digits than its factorization.

562968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 562968000 is about 23726.9467062241. The cubic root of 562968000 is about 825.7106823847.

The spelling of 562968000 in words is "five hundred sixty-two million, nine hundred sixty-eight thousand".