253962408 has 64 divisors (see below), whose sum is σ = 731381760. Its totient is φ = 71983296.

The previous prime is 253962391. The next prime is 253962419. The reversal of 253962408 is 804269352.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15385 + ... + 27287.

It is an arithmetic number, because the mean of its divisors is an integer number (11427840).

Almost surely, 2^253962408 is an apocalyptic number.

253962408 is a gapful number since it is divisible by the number (28) 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 253962408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365690880).

253962408 is an abundant number, since it is smaller than the sum of its proper divisors (477419352).

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

253962408 is a wasteful number, since it uses less digits than its factorization.

253962408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12046 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 253962408 is about 15936.1980409381. The cubic root of 253962408 is about 633.2713086689.

The spelling of 253962408 in words is "two hundred fifty-three million, nine hundred sixty-two thousand, four hundred eight".