480386000 has 160 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 177408000.

The previous prime is 480385993. The next prime is 480386087. The reversal of 480386000 is 683084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413901 + ... + 2414099.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^480386000 is an apocalyptic number.

480386000 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 480386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

480386000 is an abundant number, since it is smaller than the sum of its proper divisors (773105200).

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

480386000 is a wasteful number, since it uses less digits than its factorization.

480386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 480386000 is about 21917.7097343678. The cubic root of 480386000 is about 783.1833524034.

The spelling of 480386000 in words is "four hundred eighty million, three hundred eighty-six thousand".