253311920 has 80 divisors (see below), whose sum is σ = 602640000. Its totient is φ = 99001344.

The previous prime is 253311913. The next prime is 253311923. The reversal of 253311920 is 29113352.

253311920 = 170² + 171² + ... + 914².

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 253311920.

It is not an unprimeable number, because it can be changed into a prime (253311923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941546 + ... + 941814.

It is an arithmetic number, because the mean of its divisors is an integer number (7533000).

Almost surely, 2^253311920 is an apocalyptic number.

253311920 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 253311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320000).

253311920 is an abundant number, since it is smaller than the sum of its proper divisors (349328080).

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

253311920 is a wasteful number, since it uses less digits than its factorization.

253311920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 253311920 is about 15915.7758214923. The cubic root of 253311920 is about 632.7301687473.

The spelling of 253311920 in words is "two hundred fifty-three million, three hundred eleven thousand, nine hundred twenty".