253322160 has 240 divisors, whose sum is σ = 984374496. Its totient is φ = 53415936.

The previous prime is 253322143. The next prime is 253322197. The reversal of 253322160 is 61223352.

253322160 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 Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 253322160.

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, 152052 + ... + 153708.

Almost surely, 2^253322160 is an apocalyptic number.

253322160 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 253322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492187248).

253322160 is an abundant number, since it is smaller than the sum of its proper divisors (731052336).

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

253322160 is a wasteful number, since it uses less digits than its factorization.

253322160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 253322160 is about 15916.0975116390. The cubic root of 253322160 is about 632.7386945595.

The spelling of 253322160 in words is "two hundred fifty-three million, three hundred twenty-two thousand, one hundred sixty".