482592960 has 336 divisors, whose sum is σ = 1754075232. Its totient is φ = 121651200.

The previous prime is 482592953. The next prime is 482592967. The reversal of 482592960 is 69295284.

It is an interprime number because it is at equal distance from previous prime (482592953) and next prime (482592967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482592967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7202847 + ... + 7202913.

It is an arithmetic number, because the mean of its divisors is an integer number (5220462).

Almost surely, 2^482592960 is an apocalyptic number.

482592960 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 482592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877037616).

482592960 is an abundant number, since it is smaller than the sum of its proper divisors (1271482272).

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

482592960 is a wasteful number, since it uses less digits than its factorization.

482592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 482592960 is about 21967.9985433357. The cubic root of 482592960 is about 784.3808714449.

The spelling of 482592960 in words is "four hundred eighty-two million, five hundred ninety-two thousand, nine hundred sixty".