253057824 has 96 divisors (see below), whose sum is σ = 741888000. Its totient is φ = 83918592.

The previous prime is 253057817. The next prime is 253057841. The reversal of 253057824 is 428750352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×253057824² = 128076524575229952, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197217 + ... + 198495.

It is an arithmetic number, because the mean of its divisors is an integer number (7728000).

Almost surely, 2^253057824 is an apocalyptic number.

253057824 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 253057824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370944000).

253057824 is an abundant number, since it is smaller than the sum of its proper divisors (488830176).

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

253057824 is a wasteful number, since it uses less digits than its factorization.

253057824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 253057824 is about 15907.7912986059. The cubic root of 253057824 is about 632.5185350794.

The spelling of 253057824 in words is "two hundred fifty-three million, fifty-seven thousand, eight hundred twenty-four".