254832480 has 360 divisors, whose sum is σ = 1047583152. Its totient is φ = 57148416.

The previous prime is 254832469. The next prime is 254832511. The reversal of 254832480 is 84238452.

254832480 is a `hidden beast` number, since 2 + 548 + 32 + 4 + 80 = 666.

254832480 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 (360).

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 59 ways as a sum of consecutive naturals, for example, 4808134 + ... + 4808186.

Almost surely, 2^254832480 is an apocalyptic number.

254832480 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 254832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523791576).

254832480 is an abundant number, since it is smaller than the sum of its proper divisors (792750672).

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

254832480 is an equidigital number, since it uses as much as digits as its factorization.

254832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 254832480 is about 15963.4733062702. The cubic root of 254832480 is about 633.9936775202.

The spelling of 254832480 in words is "two hundred fifty-four million, eight hundred thirty-two thousand, four hundred eighty".