253842720 has 96 divisors (see below), whose sum is σ = 834406272. Its totient is φ = 64745472.

The previous prime is 253842709. The next prime is 253842731. The reversal of 253842720 is 27248352.

It is an interprime number because it is at equal distance from previous prime (253842709) and next prime (253842731).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×253842720² = 128872252993996800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 457 + ... + 22536.

It is an arithmetic number, because the mean of its divisors is an integer number (8691732).

Almost surely, 2^253842720 is an apocalyptic number.

253842720 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 253842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417203136).

253842720 is an abundant number, since it is smaller than the sum of its proper divisors (580563552).

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

253842720 is a wasteful number, since it uses less digits than its factorization.

253842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23034 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 253842720 is about 15932.4423739739. The cubic root of 253842720 is about 633.1718098401.

The spelling of 253842720 in words is "two hundred fifty-three million, eight hundred forty-two thousand, seven hundred twenty".