480259000 has 64 divisors (see below), whose sum is σ = 1210285440. Its totient is φ = 177321600.

The previous prime is 480258983. The next prime is 480259049. The reversal of 480259000 is 952084.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 480259000.

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 15 ways as a sum of consecutive naturals, for example, 5472 + ... + 31471.

It is an arithmetic number, because the mean of its divisors is an integer number (18910710).

Almost surely, 2^480259000 is an apocalyptic number.

480259000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480259000 is an abundant number, since it is smaller than the sum of its proper divisors (730026440).

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

480259000 is a wasteful number, since it uses less digits than its factorization.

480259000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36977 (or 36963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 480259000 is about 21914.8123423405. The cubic root of 480259000 is about 783.1143294009.

The spelling of 480259000 in words is "four hundred eighty million, two hundred fifty-nine thousand".