253972992 has 320 divisors, whose sum is σ = 879943680. Its totient is φ = 63258624.

The previous prime is 253972967. The next prime is 253973009. The reversal of 253972992 is 299279352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214809 + ... + 3214887.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^253972992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

253972992 is an abundant number, since it is smaller than the sum of its proper divisors (625970688).

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

253972992 is a wasteful number, since it uses less digits than its factorization.

253972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 253972992 is about 15936.5301116648. The cubic root of 253972992 is about 633.2801058376.

The spelling of 253972992 in words is "two hundred fifty-three million, nine hundred seventy-two thousand, nine hundred ninety-two".