254005080 has 128 divisors (see below), whose sum is σ = 878100480. Its totient is φ = 57576960.

The previous prime is 254005069. The next prime is 254005139. The reversal of 254005080 is 80500452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 254005080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105490 + ... + 107870.

It is an arithmetic number, because the mean of its divisors is an integer number (6860160).

Almost surely, 2^254005080 is an apocalyptic number.

254005080 is a gapful number since it is divisible by the number (20) 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 254005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439050240).

254005080 is an abundant number, since it is smaller than the sum of its proper divisors (624095400).

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

254005080 is a wasteful number, since it uses less digits than its factorization.

254005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 254005080 is about 15937.5368234869. The cubic root of 254005080 is about 633.3067751252.

The spelling of 254005080 in words is "two hundred fifty-four million, five thousand, eighty".