253748160 has 224 divisors, whose sum is σ = 917326080. Its totient is φ = 65995776.

The previous prime is 253748147. The next prime is 253748189. The reversal of 253748160 is 61847352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371179 + ... + 371861.

Almost surely, 2^253748160 is an apocalyptic number.

253748160 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 253748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458663040).

253748160 is an abundant number, since it is smaller than the sum of its proper divisors (663577920).

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

253748160 is a wasteful number, since it uses less digits than its factorization.

253748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 253748160 is about 15929.4745676058. The cubic root of 253748160 is about 633.0931782602.

The spelling of 253748160 in words is "two hundred fifty-three million, seven hundred forty-eight thousand, one hundred sixty".