253555760 has 80 divisors (see below), whose sum is σ = 626745600. Its totient is φ = 95125248.

The previous prime is 253555759. The next prime is 253555777. The reversal of 253555760 is 67555352.

253555760 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161861 + ... + 163419.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^253555760 is an apocalyptic number.

253555760 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 253555760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313372800).

253555760 is an abundant number, since it is smaller than the sum of its proper divisors (373189840).

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

253555760 is a wasteful number, since it uses less digits than its factorization.

253555760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 38.

The square root of 253555760 is about 15923.4343029385. The cubic root of 253555760 is about 632.9331272783.

The spelling of 253555760 in words is "two hundred fifty-three million, five hundred fifty-five thousand, seven hundred sixty".