253132992 has 224 divisors, whose sum is σ = 901232640. Its totient is φ = 68014080.

The previous prime is 253132987. The next prime is 253132993. The reversal of 253132992 is 299231352.

253132992 is a `hidden beast` number, since 2 + 531 + 32 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253132993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205017 + ... + 206247.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^253132992 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 253132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

253132992 is an abundant number, since it is smaller than the sum of its proper divisors (648099648).

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

253132992 is a wasteful number, since it uses less digits than its factorization.

253132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1260 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 253132992 is about 15910.1537390435. The cubic root of 253132992 is about 632.5811564014.

The spelling of 253132992 in words is "two hundred fifty-three million, one hundred thirty-two thousand, nine hundred ninety-two".