253152460 has 48 divisors (see below), whose sum is σ = 585742752. Its totient is φ = 91136000.

The previous prime is 253152451. The next prime is 253152463. The reversal of 253152460 is 64251352.

253152460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (253152463) 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, 16524 + ... + 27916.

It is an arithmetic number, because the mean of its divisors is an integer number (12202974).

Almost surely, 2^253152460 is an apocalyptic number.

253152460 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 253152460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292871376).

253152460 is an abundant number, since it is smaller than the sum of its proper divisors (332590292).

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

253152460 is a wasteful number, since it uses less digits than its factorization.

253152460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11514 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 253152460 is about 15910.7655378363. The cubic root of 253152460 is about 632.5973728761.

The spelling of 253152460 in words is "two hundred fifty-three million, one hundred fifty-two thousand, four hundred sixty".