253378320 has 120 divisors (see below), whose sum is σ = 850677696. Its totient is φ = 62360064.

The previous prime is 253378303. The next prime is 253378361. The reversal of 253378320 is 23873352.

253378320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37437 + ... + 43683.

Almost surely, 2^253378320 is an apocalyptic number.

253378320 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 253378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425338848).

253378320 is an abundant number, since it is smaller than the sum of its proper divisors (597299376).

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

253378320 is a wasteful number, since it uses less digits than its factorization.

253378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 253378320 is about 15917.8616654374. The cubic root of 253378320 is about 632.7854492262.

The spelling of 253378320 in words is "two hundred fifty-three million, three hundred seventy-eight thousand, three hundred twenty".