480035523072 has 480 divisors, whose sum is σ = 1536678646272. Its totient is φ = 132675895296.

The previous prime is 480035523029. The next prime is 480035523083. The reversal of 480035523072 is 270325530084.

It is a super-2 number, since 2×480035523072² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480035523072.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621002878 + ... + 621003650.

Almost surely, 2^480035523072 is an apocalyptic number.

480035523072 is a gapful number since it is divisible by the number (42) 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 480035523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768339323136).

480035523072 is an abundant number, since it is smaller than the sum of its proper divisors (1056643123200).

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

480035523072 is a wasteful number, since it uses less digits than its factorization.

480035523072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 480035523072 in words is "four hundred eighty billion, thirty-five million, five hundred twenty-three thousand, seventy-two".