253582560 has 288 divisors, whose sum is σ = 1079350272. Its totient is φ = 52669440.

The previous prime is 253582547. The next prime is 253582577. The reversal of 253582560 is 65285352.

It is a happy number.

253582560 is a `hidden beast` number, since 25 + 3 + 582 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×253582560² = 128608229472307200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 109737 + ... + 112023.

It is an arithmetic number, because the mean of its divisors is an integer number (3747744).

Almost surely, 2^253582560 is an apocalyptic number.

253582560 is a gapful number since it is divisible by the number (20) 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 253582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539675136).

253582560 is an abundant number, since it is smaller than the sum of its proper divisors (825767712).

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

253582560 is a wasteful number, since it uses less digits than its factorization.

253582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 253582560 is about 15924.2758077094. The cubic root of 253582560 is about 632.9554261344.

The spelling of 253582560 in words is "two hundred fifty-three million, five hundred eighty-two thousand, five hundred sixty".