463865875200 has 1080 divisors, whose sum is σ = 2111135899488. Its totient is φ = 97860648960.

The previous prime is 463865875171. The next prime is 463865875301. The reversal of 463865875200 is 2578568364.

463865875200 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 6 + 587 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 47169484 + ... + 47179316.

Almost surely, 2^463865875200 is an apocalyptic number.

463865875200 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 463865875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055567949744).

463865875200 is an abundant number, since it is smaller than the sum of its proper divisors (1647270024288).

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

463865875200 is a wasteful number, since it uses less digits than its factorization.

463865875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 463865875200 in words is "four hundred sixty-three billion, eight hundred sixty-five million, eight hundred seventy-five thousand, two hundred".