480770069520 has 320 divisors, whose sum is σ = 1658393856000. Its totient is φ = 114416271360.

The previous prime is 480770069509. The next prime is 480770069567. The reversal of 480770069520 is 25960077084.

It is a super-3 number, since 3×480770069520³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 480770069520.

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, 149817676 + ... + 149820884.

It is an arithmetic number, because the mean of its divisors is an integer number (5182480800).

Almost surely, 2^480770069520 is an apocalyptic number.

480770069520 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 480770069520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829196928000).

480770069520 is an abundant number, since it is smaller than the sum of its proper divisors (1177623786480).

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

480770069520 is a wasteful number, since it uses less digits than its factorization.

480770069520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 480770069520 in words is "four hundred eighty billion, seven hundred seventy million, sixty-nine thousand, five hundred twenty".