254792032 has 48 divisors (see below), whose sum is σ = 549448704. Its totient is φ = 115344000.

The previous prime is 254792023. The next prime is 254792051. The reversal of 254792032 is 230297452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94057 + ... + 96727.

It is an arithmetic number, because the mean of its divisors is an integer number (11446848).

Almost surely, 2^254792032 is an apocalyptic number.

254792032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254792032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274724352).

254792032 is an abundant number, since it is smaller than the sum of its proper divisors (294656672).

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

254792032 is a wasteful number, since it uses less digits than its factorization.

254792032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 254792032 is about 15962.2063637832. The cubic root of 254792032 is about 633.9601324332.

The spelling of 254792032 in words is "two hundred fifty-four million, seven hundred ninety-two thousand, thirty-two".