481084833600 has 2688 divisors, whose sum is σ = 2267308851200. Its totient is φ = 96745881600.

The previous prime is 481084833599. The next prime is 481084833601. The reversal of 481084833600 is 6338480184.

481084833600 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 8 + 4 + 8 + 33 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (481084833599) and next prime (481084833601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481084833601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6590203164 + ... + 6590203236.

Almost surely, 2^481084833600 is an apocalyptic number.

481084833600 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 481084833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133654425600).

481084833600 is an abundant number, since it is smaller than the sum of its proper divisors (1786224017600).

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

481084833600 is a wasteful number, since it uses less digits than its factorization.

481084833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 481084833600 in words is "four hundred eighty-one billion, eighty-four million, eight hundred thirty-three thousand, six hundred".