253932192 has 96 divisors (see below), whose sum is σ = 749770560. Its totient is φ = 83600640.

The previous prime is 253932187. The next prime is 253932193. The reversal of 253932192 is 291239352.

253932192 is a `hidden beast` number, since 2 + 539 + 32 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (253932193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69942 + ... + 73482.

It is an arithmetic number, because the mean of its divisors is an integer number (7810110).

Almost surely, 2^253932192 is an apocalyptic number.

253932192 is the 7968-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253932192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374885280).

253932192 is an abundant number, since it is smaller than the sum of its proper divisors (495838368).

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

253932192 is a wasteful number, since it uses less digits than its factorization.

253932192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3629 counting only the distinct ones).

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

The square root of 253932192 is about 15935.2499823504. The cubic root of 253932192 is about 633.2461925045.

The spelling of 253932192 in words is "two hundred fifty-three million, nine hundred thirty-two thousand, one hundred ninety-two".