253257504 has 48 divisors (see below), whose sum is σ = 668824128. Its totient is φ = 83908352.

The previous prime is 253257503. The next prime is 253257509. The reversal of 253257504 is 405752352.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (253257503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8134 + ... + 23930.

It is an arithmetic number, because the mean of its divisors is an integer number (13933836).

Almost surely, 2^253257504 is an apocalyptic number.

253257504 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 253257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334412064).

253257504 is an abundant number, since it is smaller than the sum of its proper divisors (415566624).

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

253257504 is a wasteful number, since it uses less digits than its factorization.

253257504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15977 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 253257504 is about 15914.0662308538. The cubic root of 253257504 is about 632.6848581929.

The spelling of 253257504 in words is "two hundred fifty-three million, two hundred fifty-seven thousand, five hundred four".