253955424 has 48 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 84086400.

The previous prime is 253955417. The next prime is 253955431. The reversal of 253955424 is 424559352.

253955424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253955417) and next prime (253955431).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5737 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (13980960).

Almost surely, 2^253955424 is an apocalyptic number.

253955424 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 253955424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

253955424 is an abundant number, since it is smaller than the sum of its proper divisors (417130656).

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

253955424 is a wasteful number, since it uses less digits than its factorization.

253955424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683 (or 17675 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 253955424 is about 15935.9789156487. The cubic root of 253955424 is about 633.2655036006.

The spelling of 253955424 in words is "two hundred fifty-three million, nine hundred fifty-five thousand, four hundred twenty-four".