253474032 has 160 divisors (see below), whose sum is σ = 774950400. Its totient is φ = 69903360.

The previous prime is 253474027. The next prime is 253474049. The reversal of 253474032 is 230474352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701094 + ... + 1701242.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^253474032 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 253474032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

253474032 is an abundant number, since it is smaller than the sum of its proper divisors (521476368).

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

253474032 is a wasteful number, since it uses less digits than its factorization.

253474032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 253474032 is about 15920.8678155432. The cubic root of 253474032 is about 632.8651160482.

The spelling of 253474032 in words is "two hundred fifty-three million, four hundred seventy-four thousand, thirty-two".