253432564 has 144 divisors (see below), whose sum is σ = 610140160. Its totient is φ = 89812800.

The previous prime is 253432547. The next prime is 253432577. The reversal of 253432564 is 465234352.

It is a super-2 number, since 2×253432564² = 128456128991228192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995469 + ... + 1995595.

Almost surely, 2^253432564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253432564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305070080).

253432564 is an abundant number, since it is smaller than the sum of its proper divisors (356707596).

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

253432564 is a wasteful number, since it uses less digits than its factorization.

253432564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

The square root of 253432564 is about 15919.5654463305. The cubic root of 253432564 is about 632.8306022143.

The spelling of 253432564 in words is "two hundred fifty-three million, four hundred thirty-two thousand, five hundred sixty-four".