253457360 has 40 divisors (see below), whose sum is σ = 634620840. Its totient is φ = 93583872.

The previous prime is 253457341. The next prime is 253457371. The reversal of 253457360 is 63754352.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 251159104 = 1516^2 + 15848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 253457360.

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, 120815 + ... + 122894.

It is an arithmetic number, because the mean of its divisors is an integer number (15865521).

Almost surely, 2^253457360 is an apocalyptic number.

253457360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253457360 is an abundant number, since it is smaller than the sum of its proper divisors (381163480).

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

253457360 is a wasteful number, since it uses less digits than its factorization.

253457360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243735 (or 243729 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 253457360 is about 15920.3442173842. The cubic root of 253457360 is about 632.8512403880.

The spelling of 253457360 in words is "two hundred fifty-three million, four hundred fifty-seven thousand, three hundred sixty".