253874376 has 96 divisors (see below), whose sum is σ = 811200000. Its totient is φ = 70191360.

The previous prime is 253874351. The next prime is 253874377. The reversal of 253874376 is 673478352.

253874376 is a `hidden beast` number, since 2 + 538 + 7 + 43 + 76 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253874377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7500 + ... + 23748.

It is an arithmetic number, because the mean of its divisors is an integer number (8450000).

Almost surely, 2^253874376 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 253874376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405600000).

253874376 is an abundant number, since it is smaller than the sum of its proper divisors (557325624).

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

253874376 is a wasteful number, since it uses less digits than its factorization.

253874376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16299 (or 16292 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 253874376 is about 15933.4357876762. The cubic root of 253874376 is about 633.1981290949.

The spelling of 253874376 in words is "two hundred fifty-three million, eight hundred seventy-four thousand, three hundred seventy-six".