253721160 has 448 divisors, whose sum is σ = 1076561280. Its totient is φ = 52254720.

The previous prime is 253721159. The next prime is 253721179. The reversal of 253721160 is 61127352.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2245264 + ... + 2245376.

Almost surely, 2^253721160 is an apocalyptic number.

253721160 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 253721160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538280640).

253721160 is an abundant number, since it is smaller than the sum of its proper divisors (822840120).

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

253721160 is a wasteful number, since it uses less digits than its factorization.

253721160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 253721160 is about 15928.6270594800. The cubic root of 253721160 is about 633.0707227645.

The spelling of 253721160 in words is "two hundred fifty-three million, seven hundred twenty-one thousand, one hundred sixty".