253130880 has 64 divisors (see below), whose sum is σ = 806860800. Its totient is φ = 67501056.

The previous prime is 253130873. The next prime is 253130921. The reversal of 253130880 is 88031352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64000 + ... + 67839.

It is an arithmetic number, because the mean of its divisors is an integer number (12607200).

Almost surely, 2^253130880 is an apocalyptic number.

253130880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253130880 is an abundant number, since it is smaller than the sum of its proper divisors (553729920).

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

253130880 is a wasteful number, since it uses less digits than its factorization.

253130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131861 (or 131849 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 253130880 is about 15910.0873661963. The cubic root of 253130880 is about 632.5793970955.

It can be divided in two parts, 2531 and 30880, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 253130880 in words is "two hundred fifty-three million, one hundred thirty thousand, eight hundred eighty".