254506112 has 64 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 108662784.

The previous prime is 254506093. The next prime is 254506123. The reversal of 254506112 is 211605452.

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

It is a super-2 number, since 2×254506112² = 129546722090713088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428888 + ... + 429480.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^254506112 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 254506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

254506112 is an abundant number, since it is smaller than the sum of its proper divisors (327138688).

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

254506112 is an equidigital number, since it uses as much as digits as its factorization.

254506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 254506112 is about 15953.2476944351. The cubic root of 254506112 is about 633.7229066401.

The spelling of 254506112 in words is "two hundred fifty-four million, five hundred six thousand, one hundred twelve".