253533360 has 80 divisors (see below), whose sum is σ = 797734656. Its totient is φ = 66595584.

The previous prime is 253533353. The next prime is 253533419. The reversal of 253533360 is 63335352.

253533360 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 a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8197 + ... + 23963.

Almost surely, 2^253533360 is an apocalyptic number.

253533360 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 253533360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398867328).

253533360 is an abundant number, since it is smaller than the sum of its proper divisors (544201296).

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

253533360 is a wasteful number, since it uses less digits than its factorization.

253533360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15850 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 30.

The square root of 253533360 is about 15922.7309215473. The cubic root of 253533360 is about 632.9144882229.

The spelling of 253533360 in words is "two hundred fifty-three million, five hundred thirty-three thousand, three hundred sixty".