253034496 has 272 divisors, whose sum is σ = 880797120. Its totient is φ = 70778880.

The previous prime is 253034461. The next prime is 253034501. The reversal of 253034496 is 694430352.

253034496 is a `hidden beast` number, since 2 + 530 + 34 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253034496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464186 + ... + 19464198.

Almost surely, 2^253034496 is an apocalyptic number.

253034496 is a gapful number since it is divisible by the number (26) 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 253034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440398560).

253034496 is an abundant number, since it is smaller than the sum of its proper divisors (627762624).

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

253034496 is an equidigital number, since it uses as much as digits as its factorization.

253034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 253034496 is about 15907.0580560957. The cubic root of 253034496 is about 632.4990983547.

The spelling of 253034496 in words is "two hundred fifty-three million, thirty-four thousand, four hundred ninety-six".