463973875200 has 1440 divisors, whose sum is σ = 1934807592960. Its totient is φ = 107993088000.

The previous prime is 463973875199. The next prime is 463973875237. The reversal of 463973875200 is 2578379364.

463973875200 is a `hidden beast` number, since 4 + 6 + 39 + 7 + 3 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3653337537 + ... + 3653337663.

It is an arithmetic number, because the mean of its divisors is an integer number (1343616384).

Almost surely, 2^463973875200 is an apocalyptic number.

463973875200 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 463973875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967403796480).

463973875200 is an abundant number, since it is smaller than the sum of its proper divisors (1470833717760).

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

463973875200 is a wasteful number, since it uses less digits than its factorization.

463973875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 463973875200 in words is "four hundred sixty-three billion, nine hundred seventy-three million, eight hundred seventy-five thousand, two hundred".