253174272 has 160 divisors (see below), whose sum is σ = 751618560. Its totient is φ = 75202560.

The previous prime is 253174267. The next prime is 253174279. The reversal of 253174272 is 272471352.

It is not an unprimeable number, because it can be changed into a prime (253174279) 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, 618804 + ... + 619212.

It is an arithmetic number, because the mean of its divisors is an integer number (4697616).

Almost surely, 2^253174272 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 253174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375809280).

253174272 is an abundant number, since it is smaller than the sum of its proper divisors (498444288).

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

253174272 is a wasteful number, since it uses less digits than its factorization.

253174272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 253174272 is about 15911.4509709203. The cubic root of 253174272 is about 632.6155408707.

The spelling of 253174272 in words is "two hundred fifty-three million, one hundred seventy-four thousand, two hundred seventy-two".