254428032 has 64 divisors (see below), whose sum is σ = 684460800. Its totient is φ = 83725824.

The previous prime is 254428019. The next prime is 254428039. The reversal of 254428032 is 230824452.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254428039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26143 + ... + 34529.

It is an arithmetic number, because the mean of its divisors is an integer number (10694700).

Almost surely, 2^254428032 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 254428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342230400).

254428032 is an abundant number, since it is smaller than the sum of its proper divisors (430032768).

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

254428032 is an equidigital number, since it uses as much as digits as its factorization.

254428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 254428032 is about 15950.8003560950. The cubic root of 254428032 is about 633.6580933368.

The spelling of 254428032 in words is "two hundred fifty-four million, four hundred twenty-eight thousand, thirty-two".