254915280 has 120 divisors (see below), whose sum is σ = 859028352. Its totient is φ = 67744512.

The previous prime is 254915261. The next prime is 254915291. The reversal of 254915280 is 82519452.

254915280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350277 + ... + 351003.

Almost surely, 2^254915280 is an apocalyptic number.

254915280 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 254915280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429514176).

254915280 is an abundant number, since it is smaller than the sum of its proper divisors (604113072).

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

254915280 is a wasteful number, since it uses less digits than its factorization.

254915280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 254915280 is about 15966.0665162087. The cubic root of 254915280 is about 634.0623356861.

The spelling of 254915280 in words is "two hundred fifty-four million, nine hundred fifteen thousand, two hundred eighty".