253351920 has 80 divisors (see below), whose sum is σ = 789270912. Its totient is φ = 67226880.

The previous prime is 253351907. The next prime is 253351937. The reversal of 253351920 is 29153352.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48139 + ... + 53141.

Almost surely, 2^253351920 is an apocalyptic number.

253351920 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 253351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394635456).

253351920 is an abundant number, since it is smaller than the sum of its proper divisors (535918992).

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

253351920 is a wasteful number, since it uses less digits than its factorization.

253351920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 253351920 is about 15917.0323867233. The cubic root of 253351920 is about 632.7634713973.

The spelling of 253351920 in words is "two hundred fifty-three million, three hundred fifty-one thousand, nine hundred twenty".