480254880 has 192 divisors, whose sum is σ = 1764806400. Its totient is φ = 109734912.

The previous prime is 480254837. The next prime is 480254909. The reversal of 480254880 is 88452084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163182 + ... + 166098.

It is an arithmetic number, because the mean of its divisors is an integer number (9191700).

Almost surely, 2^480254880 is an apocalyptic number.

480254880 is a gapful number since it is divisible by the number (40) 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 480254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882403200).

480254880 is an abundant number, since it is smaller than the sum of its proper divisors (1284551520).

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

480254880 is a wasteful number, since it uses less digits than its factorization.

480254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 480254880 is about 21914.7183417903. The cubic root of 480254880 is about 783.1120900257.

The spelling of 480254880 in words is "four hundred eighty million, two hundred fifty-four thousand, eight hundred eighty".