480459000 has 256 divisors, whose sum is σ = 1736017920. Its totient is φ = 108364800.

The previous prime is 480458999. The next prime is 480459013. The reversal of 480459000 is 954084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2876917 + ... + 2877083.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2^480459000 is an apocalyptic number.

480459000 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 480459000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868008960).

480459000 is an abundant number, since it is smaller than the sum of its proper divisors (1255558920).

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

480459000 is a wasteful number, since it uses less digits than its factorization.

480459000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 480459000 is about 21919.3749910895. The cubic root of 480459000 is about 783.2230215368.

The spelling of 480459000 in words is "four hundred eighty million, four hundred fifty-nine thousand".