477504384000 has 704 divisors, whose sum is σ = 1823901760512. Its totient is φ = 108625920000.

The previous prime is 477504383959. The next prime is 477504384001. The reversal of 477504384000 is 483405774.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (477504384001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077887779 + ... + 1077888221.

Almost surely, 2^477504384000 is an apocalyptic number.

477504384000 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 477504384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911950880256).

477504384000 is an abundant number, since it is smaller than the sum of its proper divisors (1346397376512).

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

477504384000 is a wasteful number, since it uses less digits than its factorization.

477504384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

Adding to 477504384000 its reverse (483405774), we get a palindrome (477987789774).

The spelling of 477504384000 in words is "four hundred seventy-seven billion, five hundred four million, three hundred eighty-four thousand".