253532160 has 384 divisors, whose sum is σ = 1037836800. Its totient is φ = 57507840.

The previous prime is 253532159. The next prime is 253532161. The reversal of 253532160 is 61235352.

It is an interprime number because it is at equal distance from previous prime (253532159) and next prime (253532161).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253532161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935295 + ... + 1935425.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^253532160 is an apocalyptic number.

253532160 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 253532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

253532160 is an abundant number, since it is smaller than the sum of its proper divisors (784304640).

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

253532160 is a wasteful number, since it uses less digits than its factorization.

253532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 253532160 is about 15922.6932395245. The cubic root of 253532160 is about 632.9134896711.

The spelling of 253532160 in words is "two hundred fifty-three million, five hundred thirty-two thousand, one hundred sixty".