481395208320 has 896 divisors, whose sum is σ = 1874837764800. Its totient is φ = 117438750720.

The previous prime is 481395208319. The next prime is 481395208367. The reversal of 481395208320 is 23802593184.

481395208320 is a `hidden beast` number, since 48 + 1 + 3 + 9 + 520 + 83 + 2 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 843073635 + ... + 843074205.

Almost surely, 2^481395208320 is an apocalyptic number.

481395208320 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 481395208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937418882400).

481395208320 is an abundant number, since it is smaller than the sum of its proper divisors (1393442556480).

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

481395208320 is a wasteful number, since it uses less digits than its factorization.

481395208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 481395208320 in words is "four hundred eighty-one billion, three hundred ninety-five million, two hundred eight thousand, three hundred twenty".