482544820800 has 672 divisors, whose sum is σ = 2097784780800. Its totient is φ = 105498961920.

The previous prime is 482544820799. The next prime is 482544820829. The reversal of 482544820800 is 8028445284.

482544820800 is a `hidden beast` number, since 4 + 8 + 2 + 544 + 8 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×482544820800² (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 95 ways as a sum of consecutive naturals, for example, 6920511 + ... + 6989889.

Almost surely, 2^482544820800 is an apocalyptic number.

482544820800 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 482544820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048892390400).

482544820800 is an abundant number, since it is smaller than the sum of its proper divisors (1615239960000).

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

482544820800 is a wasteful number, since it uses less digits than its factorization.

482544820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69440 (or 69419 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 482544820800 in words is "four hundred eighty-two billion, five hundred forty-four million, eight hundred twenty thousand, eight hundred".