482815080 has 640 divisors, whose sum is σ = 2007244800. Its totient is φ = 102643200.

The previous prime is 482815037. The next prime is 482815097. The reversal of 482815080 is 80518284.

It is a super-2 number, since 2×482815080² = 466220802950812800, which 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15574665 + ... + 15574695.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 2^482815080 is an apocalyptic number.

482815080 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 482815080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003622400).

482815080 is an abundant number, since it is smaller than the sum of its proper divisors (1524429720).

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

482815080 is a wasteful number, since it uses less digits than its factorization.

482815080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 482815080 is about 21973.0534974090. The cubic root of 482815080 is about 784.5011936559.

It can be divided in two parts, 48281 and 5080, that added together give a square (53361 = 231²).

The spelling of 482815080 in words is "four hundred eighty-two million, eight hundred fifteen thousand, eighty".