253150464 has 216 divisors, whose sum is σ = 811876800. Its totient is φ = 69995520.

The previous prime is 253150453. The next prime is 253150477. The reversal of 253150464 is 464051352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8166129 + ... + 8166159.

Almost surely, 2^253150464 is an apocalyptic number.

253150464 is a gapful number since it is divisible by the number (24) 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 253150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405938400).

253150464 is an abundant number, since it is smaller than the sum of its proper divisors (558726336).

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

253150464 is an frugal number, since it uses more digits than its factorization.

253150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 253150464 is about 15910.7028128867. The cubic root of 253150464 is about 632.5957102842.

The spelling of 253150464 in words is "two hundred fifty-three million, one hundred fifty thousand, four hundred sixty-four".