253594880 has 288 divisors, whose sum is σ = 791175168. Its totient is φ = 75571200.

The previous prime is 253594853. The next prime is 253594903. The reversal of 253594880 is 88495352.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 3055319 + ... + 3055401.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136).

Almost surely, 2^253594880 is an apocalyptic number.

253594880 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 253594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395587584).

253594880 is an abundant number, since it is smaller than the sum of its proper divisors (537580288).

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

253594880 is a wasteful number, since it uses less digits than its factorization.

253594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 253594880 is about 15924.6626337891. The cubic root of 253594880 is about 632.9656764247.

The spelling of 253594880 in words is "two hundred fifty-three million, five hundred ninety-four thousand, eight hundred eighty".