254580480 has 648 divisors, whose sum is σ = 1145040624. Its totient is φ = 51609600.

The previous prime is 254580479. The next prime is 254580497. The reversal of 254580480 is 84085452.

It is a super-2 number, since 2×254580480² = 129622441594060800, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 6209260 + ... + 6209300.

It is an arithmetic number, because the mean of its divisors is an integer number (1767038).

Almost surely, 2^254580480 is an apocalyptic number.

254580480 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 254580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572520312).

254580480 is an abundant number, since it is smaller than the sum of its proper divisors (890460144).

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

254580480 is a wasteful number, since it uses less digits than its factorization.

254580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 254580480 is about 15955.5783348646. The cubic root of 254580480 is about 633.7846263307.

The spelling of 254580480 in words is "two hundred fifty-four million, five hundred eighty thousand, four hundred eighty".