253474272 has 144 divisors (see below), whose sum is σ = 768588912. Its totient is φ = 82114560.

The previous prime is 253474271. The next prime is 253474279. The reversal of 253474272 is 272474352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253474271) 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, 287272 + ... + 288152.

It is an arithmetic number, because the mean of its divisors is an integer number (5337423).

Almost surely, 2^253474272 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 253474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384294456).

253474272 is an abundant number, since it is smaller than the sum of its proper divisors (515114640).

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

253474272 is an equidigital number, since it uses as much as digits as its factorization.

253474272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 923 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 253474272 is about 15920.8753528190. The cubic root of 253474272 is about 632.8653157893.

The spelling of 253474272 in words is "two hundred fifty-three million, four hundred seventy-four thousand, two hundred seventy-two".