254584096 has 48 divisors (see below), whose sum is σ = 541223424. Its totient is φ = 117183744.

The previous prime is 254584093. The next prime is 254584111. The reversal of 254584096 is 690485452.

It is a super-2 number, since 2×254584096² = 129626123872274432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254584093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233665 + ... + 234751.

It is an arithmetic number, because the mean of its divisors is an integer number (11275488).

Almost surely, 2^254584096 is an apocalyptic number.

254584096 is a gapful number since it is divisible by the number (26) 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 254584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270611712).

254584096 is an abundant number, since it is smaller than the sum of its proper divisors (286639328).

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

254584096 is a wasteful number, since it uses less digits than its factorization.

254584096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 254584096 is about 15955.6916490637. The cubic root of 254584096 is about 633.7876270247.

The spelling of 254584096 in words is "two hundred fifty-four million, five hundred eighty-four thousand, ninety-six".