253031904 has 96 divisors (see below), whose sum is σ = 750264480. Its totient is φ = 82944000.

The previous prime is 253031903. The next prime is 253031917. The reversal of 253031904 is 409130352.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253031903) 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, 50304 + ... + 55104.

It is an arithmetic number, because the mean of its divisors is an integer number (7815255).

Almost surely, 2^253031904 is an apocalyptic number.

253031904 is a gapful number since it is divisible by the number (24) 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 253031904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375132240).

253031904 is an abundant number, since it is smaller than the sum of its proper divisors (497232576).

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

253031904 is a wasteful number, since it uses less digits than its factorization.

253031904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253031904 is about 15906.9765826193. The cubic root of 253031904 is about 632.4969386449.

The spelling of 253031904 in words is "two hundred fifty-three million, thirty-one thousand, nine hundred four".