253149084 has 144 divisors (see below), whose sum is σ = 713475840. Its totient is φ = 77565600.

The previous prime is 253149077. The next prime is 253149133. The reversal of 253149084 is 480941352.

253149084 is a `hidden beast` number, since 2 + 531 + 49 + 0 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676409 + ... + 1676559.

Almost surely, 2^253149084 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 253149084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356737920).

253149084 is an abundant number, since it is smaller than the sum of its proper divisors (460326756).

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

253149084 is a wasteful number, since it uses less digits than its factorization.

253149084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 253149084 is about 15910.6594457929. The cubic root of 253149084 is about 632.5945607917.

It can be divided in two parts, 2531 and 49084, that added together give a palindrome (51615).

The spelling of 253149084 in words is "two hundred fifty-three million, one hundred forty-nine thousand, eighty-four".