482304480 has 288 divisors, whose sum is σ = 1835011584. Its totient is φ = 104113152.

The previous prime is 482304437. The next prime is 482304499. The reversal of 482304480 is 84403284.

It is a super-2 number, since 2×482304480² = 465235222856140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6105081 + ... + 6105159.

It is an arithmetic number, because the mean of its divisors is an integer number (6371568).

Almost surely, 2^482304480 is an apocalyptic number.

482304480 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 482304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917505792).

482304480 is an abundant number, since it is smaller than the sum of its proper divisors (1352707104).

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

482304480 is a wasteful number, since it uses less digits than its factorization.

482304480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 482304480 is about 21961.4316473221. The cubic root of 482304480 is about 784.2245469540.

The spelling of 482304480 in words is "four hundred eighty-two million, three hundred four thousand, four hundred eighty".