480906720 has 672 divisors, whose sum is σ = 2115348480. Its totient is φ = 100776960.

The previous prime is 480906719. The next prime is 480906721. The reversal of 480906720 is 27609084.

It is an interprime number because it is at equal distance from previous prime (480906719) and next prime (480906721).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×480906720³ (a number of 27 digits) contains 333 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 (480906721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15513105 + ... + 15513135.

It is an arithmetic number, because the mean of its divisors is an integer number (3147840).

Almost surely, 2^480906720 is an apocalyptic number.

480906720 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 480906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057674240).

480906720 is an abundant number, since it is smaller than the sum of its proper divisors (1634441760).

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

480906720 is a wasteful number, since it uses less digits than its factorization.

480906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 480906720 is about 21929.5854953987. The cubic root of 480906720 is about 783.4662304573.

The spelling of 480906720 in words is "four hundred eighty million, nine hundred six thousand, seven hundred twenty".