562752000 has 240 divisors, whose sum is σ = 2029001832. Its totient is φ = 149913600.

The previous prime is 562751977. The next prime is 562752041. The reversal of 562752000 is 257265.

It can be written as a sum of positive squares in 4 ways, for example, as 310323456 + 252428544 = 17616^2 + 15888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575512 + ... + 576488.

Almost surely, 2^562752000 is an apocalyptic number.

562752000 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 562752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014500916).

562752000 is an abundant number, since it is smaller than the sum of its proper divisors (1466249832).

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

562752000 is an equidigital number, since it uses as much as digits as its factorization.

562752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 562752000 is about 23722.3944828510. The cubic root of 562752000 is about 825.6050657703.

The spelling of 562752000 in words is "five hundred sixty-two million, seven hundred fifty-two thousand".