480109003920 has 1280 divisors, whose sum is σ = 2082366720000. Its totient is φ = 99580575744.

The previous prime is 480109003859. The next prime is 480109003951. The reversal of 480109003920 is 29300901084.

480109003920 is a `hidden beast` number, since 480 + 1 + 0 + 90 + 0 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3222208006 + ... + 3222208154.

It is an arithmetic number, because the mean of its divisors is an integer number (1626849000).

Almost surely, 2^480109003920 is an apocalyptic number.

480109003920 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 480109003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041183360000).

480109003920 is an abundant number, since it is smaller than the sum of its proper divisors (1602257716080).

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

480109003920 is a wasteful number, since it uses less digits than its factorization.

480109003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 480109003920 in words is "four hundred eighty billion, one hundred nine million, three thousand, nine hundred twenty".