254048832 has 112 divisors (see below), whose sum is σ = 756716800. Its totient is φ = 83566080.

The previous prime is 254048831. The next prime is 254048881. The reversal of 254048832 is 238840452.

254048832 is a `hidden beast` number, since 2 + 540 + 4 + 88 + 32 = 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 (254048831) 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, 135582 + ... + 137442.

It is an arithmetic number, because the mean of its divisors is an integer number (6756400).

Almost surely, 2^254048832 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 254048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378358400).

254048832 is an abundant number, since it is smaller than the sum of its proper divisors (502667968).

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

254048832 is a wasteful number, since it uses less digits than its factorization.

254048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 254048832 is about 15938.9093729778. The cubic root of 254048832 is about 633.3431350899.

The spelling of 254048832 in words is "two hundred fifty-four million, forty-eight thousand, eight hundred thirty-two".