253890880 has 56 divisors (see below), whose sum is σ = 610526592. Its totient is φ = 100557312.

The previous prime is 253890827. The next prime is 253890883. The reversal of 253890880 is 88098352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253890883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29109 + ... + 36811.

Almost surely, 2^253890880 is an apocalyptic number.

253890880 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 253890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305263296).

253890880 is an abundant number, since it is smaller than the sum of its proper divisors (356635712).

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

253890880 is a wasteful number, since it uses less digits than its factorization.

253890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 253890880 is about 15933.9536838790. The cubic root of 253890880 is about 633.2118498908.

The spelling of 253890880 in words is "two hundred fifty-three million, eight hundred ninety thousand, eight hundred eighty".