252257544 has 256 divisors, whose sum is σ = 905472000. Its totient is φ = 63141120.

The previous prime is 252257531. The next prime is 252257557. The reversal of 252257544 is 445752252.

252257544 is a `hidden beast` number, since 25 + 22 + 575 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (252257531) and next prime (252257557).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252257499 and 252257508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482067 + ... + 482589.

It is an arithmetic number, because the mean of its divisors is an integer number (3537000).

Almost surely, 2^252257544 is an apocalyptic number.

252257544 is a gapful number since it is divisible by the number (24) 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 252257544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452736000).

252257544 is an abundant number, since it is smaller than the sum of its proper divisors (653214456).

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

252257544 is a wasteful number, since it uses less digits than its factorization.

252257544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 252257544 is about 15882.6176683820. The cubic root of 252257544 is about 631.8510638205.

The spelling of 252257544 in words is "two hundred fifty-two million, two hundred fifty-seven thousand, five hundred forty-four".