565274400 has 144 divisors (see below), whose sum is σ = 1848256704. Its totient is φ = 150062080.

The previous prime is 565274357. The next prime is 565274407. The reversal of 565274400 is 4472565.

It is not an unprimeable number, because it can be changed into a prime (565274407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760429 + ... + 761171.

It is an arithmetic number, because the mean of its divisors is an integer number (12835116).

Almost surely, 2^565274400 is an apocalyptic number.

565274400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 23775×23776.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924128352).

565274400 is an abundant number, since it is smaller than the sum of its proper divisors (1282982304).

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

565274400 is a wasteful number, since it uses less digits than its factorization.

565274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 565274400 is about 23775.4999947425. The cubic root of 565274400 is about 826.8367524925.

The spelling of 565274400 in words is "five hundred sixty-five million, two hundred seventy-four thousand, four hundred".