564401250 has 160 divisors (see below), whose sum is σ = 1791926400. Its totient is φ = 128952000.

The previous prime is 564401249. The next prime is 564401261. The reversal of 564401250 is 52104465.

564401250 is a `hidden beast` number, since 5 + 6 + 4 + 401 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235056 + ... + 237444.

It is an arithmetic number, because the mean of its divisors is an integer number (11199540).

Almost surely, 2^564401250 is an apocalyptic number.

564401250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 564401250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895963200).

564401250 is an abundant number, since it is smaller than the sum of its proper divisors (1227525150).

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

564401250 is a wasteful number, since it uses less digits than its factorization.

564401250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 564401250 is about 23757.1305085442. The cubic root of 564401250 is about 826.4108091804.

The spelling of 564401250 in words is "five hundred sixty-four million, four hundred one thousand, two hundred fifty".