480907494816320 has 448 divisors, whose sum is σ = 1357020359880192. Its totient is φ = 161359510118400.

The previous prime is 480907494816293. The next prime is 480907494816347. The reversal of 480907494816320 is 23618494709084.

It is an interprime number because it is at equal distance from previous prime (480907494816293) and next prime (480907494816347).

It is a super-3 number, since 3×480907494816320³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

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, 15176791517 + ... + 15176823203.

It is an arithmetic number, because the mean of its divisors is an integer number (3029063303304).

Almost surely, 2^{480907494816320} is an apocalyptic number.

480907494816320 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 480907494816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678510179940096).

480907494816320 is an abundant number, since it is smaller than the sum of its proper divisors (876112865063872).

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

480907494816320 is a wasteful number, since it uses less digits than its factorization.

480907494816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34491 (or 34459 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 65.

The spelling of 480907494816320 in words is "four hundred eighty trillion, nine hundred seven billion, four hundred ninety-four million, eight hundred sixteen thousand, three hundred twenty".