253327920 has 80 divisors (see below), whose sum is σ = 792351072. Its totient is φ = 66949120.

The previous prime is 253327903. The next prime is 253327927. The reversal of 253327920 is 29723352.

253327920 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 (80).

It is not an unprimeable number, because it can be changed into a prime (253327927) 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, 22450 + ... + 31790.

Almost surely, 2^253327920 is an apocalyptic number.

253327920 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 253327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396175536).

253327920 is an abundant number, since it is smaller than the sum of its proper divisors (539023152).

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

253327920 is a wasteful number, since it uses less digits than its factorization.

253327920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 253327920 is about 15916.2784594892. The cubic root of 253327920 is about 632.7434902280.

The spelling of 253327920 in words is "two hundred fifty-three million, three hundred twenty-seven thousand, nine hundred twenty".