253021860 has 384 divisors, whose sum is σ = 1023590400. Its totient is φ = 50388480.

The previous prime is 253021831. The next prime is 253021861. The reversal of 253021860 is 68120352.

253021860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253021861) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933525 + ... + 933795.

It is an arithmetic number, because the mean of its divisors is an integer number (2665600).

Almost surely, 2^253021860 is an apocalyptic number.

253021860 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 253021860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511795200).

253021860 is an abundant number, since it is smaller than the sum of its proper divisors (770568540).

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

253021860 is a wasteful number, since it uses less digits than its factorization.

253021860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253021860 is about 15906.6608689568. The cubic root of 253021860 is about 632.4885696300.

The spelling of 253021860 in words is "two hundred fifty-three million, twenty-one thousand, eight hundred sixty".