254532096 has 240 divisors, whose sum is σ = 905608704. Its totient is φ = 67018752.

The previous prime is 254532017. The next prime is 254532121. The reversal of 254532096 is 690235452.

254532096 is a `hidden beast` number, since 2 + 545 + 3 + 20 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 254532096.

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 23 ways as a sum of consecutive naturals, for example, 419025 + ... + 419631.

Almost surely, 2^254532096 is an apocalyptic number.

254532096 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 254532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452804352).

254532096 is an abundant number, since it is smaller than the sum of its proper divisors (651076608).

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

254532096 is a wasteful number, since it uses less digits than its factorization.

254532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 254532096 is about 15954.0620532829. The cubic root of 254532096 is about 633.7444727177.

The spelling of 254532096 in words is "two hundred fifty-four million, five hundred thirty-two thousand, ninety-six".