254294432 has 96 divisors (see below), whose sum is σ = 620307072. Its totient is φ = 100122624.

The previous prime is 254294431. The next prime is 254294441. The reversal of 254294432 is 234492452.

It is a junction number, because it is equal to n+sod(n) for n = 254294392 and 254294401.

It is not an unprimeable number, because it can be changed into a prime (254294431) 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, 162968 + ... + 164520.

It is an arithmetic number, because the mean of its divisors is an integer number (6461532).

Almost surely, 2^254294432 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 254294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310153536).

254294432 is an abundant number, since it is smaller than the sum of its proper divisors (366012640).

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

254294432 is a wasteful number, since it uses less digits than its factorization.

254294432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 254294432 is about 15946.6119285571. The cubic root of 254294432 is about 633.5471627622.

The spelling of 254294432 in words is "two hundred fifty-four million, two hundred ninety-four thousand, four hundred thirty-two".