480790080 has 252 divisors, whose sum is σ = 1724733660. Its totient is φ = 127650816.

The previous prime is 480790069. The next prime is 480790081. The reversal of 480790080 is 80097084.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 151585344 = 18144^2 + 12312^2 .

It is a super-3 number, since 3×480790080³ (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 (480790081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099406 + ... + 2099634.

Almost surely, 2^480790080 is an apocalyptic number.

480790080 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 480790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862366830).

480790080 is an abundant number, since it is smaller than the sum of its proper divisors (1243943580).

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

480790080 is an frugal number, since it uses more digits than its factorization.

480790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 480790080 is about 21926.9259131325. The cubic root of 480790080 is about 783.4028842224.

The spelling of 480790080 in words is "four hundred eighty million, seven hundred ninety thousand, eighty".