253832832 has 192 divisors, whose sum is σ = 824812800. Its totient is φ = 76792320.

The previous prime is 253832779. The next prime is 253832849. The reversal of 253832832 is 238238352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×253832832² = 128862213202280448, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 417873 + ... + 418479.

It is an arithmetic number, because the mean of its divisors is an integer number (4295900).

Almost surely, 2^253832832 is an apocalyptic number.

253832832 is a gapful number since it is divisible by the number (22) 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 253832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412406400).

253832832 is an abundant number, since it is smaller than the sum of its proper divisors (570979968).

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

253832832 is a wasteful number, since it uses less digits than its factorization.

253832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 253832832 is about 15932.1320607130. The cubic root of 253832832 is about 633.1635883659.

The spelling of 253832832 in words is "two hundred fifty-three million, eight hundred thirty-two thousand, eight hundred thirty-two".