480403422720 has 320 divisors, whose sum is σ = 1837700504640. Its totient is φ = 118252929024.

The previous prime is 480403422701. The next prime is 480403422721. The reversal of 480403422720 is 27224304084.

480403422720 is a `hidden beast` number, since 4 + 8 + 0 + 40 + 342 + 272 + 0 = 666.

480403422720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×480403422720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480403422721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631242 + ... + 1165878.

It is an arithmetic number, because the mean of its divisors is an integer number (5742814077).

Almost surely, 2^480403422720 is an apocalyptic number.

480403422720 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 480403422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918850252320).

480403422720 is an abundant number, since it is smaller than the sum of its proper divisors (1357297081920).

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

480403422720 is a wasteful number, since it uses less digits than its factorization.

480403422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534682 (or 534660 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 480403422720 in words is "four hundred eighty billion, four hundred three million, four hundred twenty-two thousand, seven hundred twenty".