253578312 has 96 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 74625408.

The previous prime is 253578293. The next prime is 253578319. The reversal of 253578312 is 213875352.

It is a happy number.

253578312 is a `hidden beast` number, since 2 + 53 + 578 + 31 + 2 = 666.

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 (253578319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15639 + ... + 27417.

It is an arithmetic number, because the mean of its divisors is an integer number (8039850).

Almost surely, 2^253578312 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 253578312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

253578312 is an abundant number, since it is smaller than the sum of its proper divisors (518247288).

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

253578312 is a wasteful number, since it uses less digits than its factorization.

253578312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11827 (or 11820 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 253578312 is about 15924.1424258891. The cubic root of 253578312 is about 632.9518917041.

The spelling of 253578312 in words is "two hundred fifty-three million, five hundred seventy-eight thousand, three hundred twelve".