463864300 has 72 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 180398400.

The previous prime is 463864241. The next prime is 463864333. The reversal of 463864300 is 3468364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560487 + ... + 561313.

It is an arithmetic number, because the mean of its divisors is an integer number (14374080).

Almost surely, 2^463864300 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 463864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

463864300 is an abundant number, since it is smaller than the sum of its proper divisors (571069460).

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

463864300 is a wasteful number, since it uses less digits than its factorization.

463864300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 463864300 is about 21537.5091410311. The cubic root of 463864300 is about 774.0998497957.

The spelling of 463864300 in words is "four hundred sixty-three million, eight hundred sixty-four thousand, three hundred".