480870318432 has 576 divisors, whose sum is σ = 1592390741760. Its totient is φ = 126262886400.

The previous prime is 480870318431. The next prime is 480870318463. The reversal of 480870318432 is 234813078084.

480870318432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480870318432³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480870318431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029700663 + ... + 1029701129.

It is an arithmetic number, because the mean of its divisors is an integer number (2764567260).

Almost surely, 2^480870318432 is an apocalyptic number.

480870318432 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 480870318432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796195370880).

480870318432 is an abundant number, since it is smaller than the sum of its proper divisors (1111520423328).

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

480870318432 is a wasteful number, since it uses less digits than its factorization.

480870318432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 480870318432 in words is "four hundred eighty billion, eight hundred seventy million, three hundred eighteen thousand, four hundred thirty-two".