463881600 has 768 divisors, whose sum is σ = 2124864000. Its totient is φ = 96215040.

The previous prime is 463881581. The next prime is 463881619. The reversal of 463881600 is 6188364.

It is a happy number.

463881600 is a `hidden beast` number, since 4 + 638 + 8 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463881581) and next prime (463881619).

It is a super-2 number, since 2×463881600² = 430372277637120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7862371 + ... + 7862429.

It is an arithmetic number, because the mean of its divisors is an integer number (2766750).

Almost surely, 2^463881600 is an apocalyptic number.

463881600 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 463881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432000).

463881600 is an abundant number, since it is smaller than the sum of its proper divisors (1660982400).

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

463881600 is a wasteful number, since it uses less digits than its factorization.

463881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 463881600 is about 21537.9107621886. The cubic root of 463881600 is about 774.1094731281.

The spelling of 463881600 in words is "four hundred sixty-three million, eight hundred eighty-one thousand, six hundred".