254480832 has 224 divisors, whose sum is σ = 824179200. Its totient is φ = 76640256.

The previous prime is 254480819. The next prime is 254480839. The reversal of 254480832 is 238084452.

254480832 is a `hidden beast` number, since 2 + 544 + 80 + 8 + 32 = 666.

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 (254480839) 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, 754968 + ... + 755304.

Almost surely, 2^254480832 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 254480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412089600).

254480832 is an abundant number, since it is smaller than the sum of its proper divisors (569698368).

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

254480832 is a wasteful number, since it uses less digits than its factorization.

254480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

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

The square root of 254480832 is about 15952.4553595990. The cubic root of 254480832 is about 633.7019234564.

The spelling of 254480832 in words is "two hundred fifty-four million, four hundred eighty thousand, eight hundred thirty-two".