254853432 has 128 divisors (see below), whose sum is σ = 756518400. Its totient is φ = 79301376.

The previous prime is 254853419. The next prime is 254853433. The reversal of 254853432 is 234358452.

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 (254853433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213028 + ... + 214220.

It is an arithmetic number, because the mean of its divisors is an integer number (5910300).

Almost surely, 2^254853432 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 254853432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378259200).

254853432 is an abundant number, since it is smaller than the sum of its proper divisors (501664968).

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

254853432 is a wasteful number, since it uses less digits than its factorization.

254853432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 254853432 is about 15964.1295409427. The cubic root of 254853432 is about 634.0110524267.

The spelling of 254853432 in words is "two hundred fifty-four million, eight hundred fifty-three thousand, four hundred thirty-two".