253473360 has 240 divisors, whose sum is σ = 933833088. Its totient is φ = 55710720.

The previous prime is 253473359. The next prime is 253473371. The reversal of 253473360 is 63374352.

253473360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614402 + ... + 1614558.

Almost surely, 2^253473360 is an apocalyptic number.

253473360 is a gapful number since it is divisible by the number (20) 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 253473360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466916544).

253473360 is an abundant number, since it is smaller than the sum of its proper divisors (680359728).

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

253473360 is a wasteful number, since it uses less digits than its factorization.

253473360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 253473360 is about 15920.8467111520. The cubic root of 253473360 is about 632.8645567723.

The spelling of 253473360 in words is "two hundred fifty-three million, four hundred seventy-three thousand, three hundred sixty".