566465400 has 240 divisors, whose sum is σ = 1998532800. Its totient is φ = 148677120.

The previous prime is 566465399. The next prime is 566465437. The reversal of 566465400 is 4564665.

It is a happy number.

566465400 is a `hidden beast` number, since 5 + 6 + 646 + 5 + 4 + 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, 1182361 + ... + 1182839.

It is an arithmetic number, because the mean of its divisors is an integer number (8327220).

Almost surely, 2^566465400 is an apocalyptic number.

566465400 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 566465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999266400).

566465400 is an abundant number, since it is smaller than the sum of its proper divisors (1432067400).

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

566465400 is a wasteful number, since it uses less digits than its factorization.

566465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 566465400 is about 23800.5336074635. The cubic root of 566465400 is about 827.4170439806.

The spelling of 566465400 in words is "five hundred sixty-six million, four hundred sixty-five thousand, four hundred".