463875804 has 288 divisors, whose sum is σ = 1541030400. Its totient is φ = 114462720.

The previous prime is 463875803. The next prime is 463875827. The reversal of 463875804 is 408578364.

463875804 is a `hidden beast` number, since 4 + 63 + 8 + 7 + 580 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 463875804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463875803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3337167 + ... + 3337305.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^463875804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463875804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

463875804 is an abundant number, since it is smaller than the sum of its proper divisors (1077154596).

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

463875804 is a wasteful number, since it uses less digits than its factorization.

463875804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 463875804 is about 21537.7762083275. The cubic root of 463875804 is about 774.1062490603.

The spelling of 463875804 in words is "four hundred sixty-three million, eight hundred seventy-five thousand, eight hundred four".