482173862400 has 240 divisors, whose sum is σ = 1769813733600. Its totient is φ = 128579604480.

The previous prime is 482173862393. The next prime is 482173862441. The reversal of 482173862400 is 4268371284.

It is a happy number.

482173862400 is a `hidden beast` number, since 4 + 8 + 2 + 17 + 3 + 8 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351990 + ... + 1043189.

It is an arithmetic number, because the mean of its divisors is an integer number (7374223890).

Almost surely, 2^482173862400 is an apocalyptic number.

482173862400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482173862400 is an abundant number, since it is smaller than the sum of its proper divisors (1287639871200).

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

482173862400 is a wasteful number, since it uses less digits than its factorization.

482173862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395216 (or 1395189 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 482173862400 in words is "four hundred eighty-two billion, one hundred seventy-three million, eight hundred sixty-two thousand, four hundred".