253380960 has 576 divisors, whose sum is σ = 1100736000. Its totient is φ = 54867456.

The previous prime is 253380947. The next prime is 253380961. The reversal of 253380960 is 69083352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253380961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13335831 + ... + 13335849.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^253380960 is an apocalyptic number.

253380960 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 253380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

253380960 is an abundant number, since it is smaller than the sum of its proper divisors (847355040).

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

253380960 is an equidigital number, since it uses as much as digits as its factorization.

253380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253380960 is about 15917.9445909326. The cubic root of 253380960 is about 632.7876469252.

The spelling of 253380960 in words is "two hundred fifty-three million, three hundred eighty thousand, nine hundred sixty".