253945824 has 48 divisors (see below), whose sum is σ = 727211520. Its totient is φ = 76952960.

The previous prime is 253945819. The next prime is 253945859. The reversal of 253945824 is 428549352.

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

It is a congruent number.

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, 119184 + ... + 121295.

It is an arithmetic number, because the mean of its divisors is an integer number (15150240).

Almost surely, 2^253945824 is an apocalyptic number.

253945824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253945824 is an abundant number, since it is smaller than the sum of its proper divisors (473265696).

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

253945824 is a wasteful number, since it uses less digits than its factorization.

253945824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240503 (or 240495 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 253945824 is about 15935.6777075843. The cubic root of 253945824 is about 633.2575239516.

The spelling of 253945824 in words is "two hundred fifty-three million, nine hundred forty-five thousand, eight hundred twenty-four".