480419379088 has 80 divisors (see below), whose sum is σ = 1040352163200. Its totient is φ = 213076684800.

The previous prime is 480419379061. The next prime is 480419379107. The reversal of 480419379088 is 880973914084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013938 + ... + 1410286.

It is an arithmetic number, because the mean of its divisors is an integer number (13004402040).

Almost surely, 2^480419379088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480419379088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520176081600).

480419379088 is an abundant number, since it is smaller than the sum of its proper divisors (559932784112).

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

480419379088 is a wasteful number, since it uses less digits than its factorization.

480419379088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396536 (or 396530 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 61.

The spelling of 480419379088 in words is "four hundred eighty billion, four hundred nineteen million, three hundred seventy-nine thousand, eighty-eight".