480860190720 has 864 divisors, whose sum is σ = 2088052162560. Its totient is φ = 101443829760.

The previous prime is 480860190709. The next prime is 480860190737. The reversal of 480860190720 is 27091068084.

480860190720 is a `hidden beast` number, since 480 + 8 + 60 + 1 + 90 + 7 + 20 = 666.

It is a super-3 number, since 3×480860190720³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58701825 + ... + 58710015.

It is an arithmetic number, because the mean of its divisors is an integer number (2416727040).

Almost surely, 2^480860190720 is an apocalyptic number.

480860190720 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 480860190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044026081280).

480860190720 is an abundant number, since it is smaller than the sum of its proper divisors (1607191971840).

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

480860190720 is a wasteful number, since it uses less digits than its factorization.

480860190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 480860190720 in words is "four hundred eighty billion, eight hundred sixty million, one hundred ninety thousand, seven hundred twenty".