482406312960 has 1408 divisors, whose sum is σ = 2103653099520. Its totient is φ = 103160217600.

The previous prime is 482406312893. The next prime is 482406313013. The reversal of 482406312960 is 69213604284.

482406312960 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 0 + 631 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×482406312960² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454670830 + ... + 454671890.

Almost surely, 2^482406312960 is an apocalyptic number.

482406312960 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 482406312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051826549760).

482406312960 is an abundant number, since it is smaller than the sum of its proper divisors (1621246786560).

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

482406312960 is a wasteful number, since it uses less digits than its factorization.

482406312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 482406312960 in words is "four hundred eighty-two billion, four hundred six million, three hundred twelve thousand, nine hundred sixty".