463994000 has 80 divisors (see below), whose sum is σ = 1133539056. Its totient is φ = 183680000.

The previous prime is 463993993. The next prime is 463994033. The reversal of 463994000 is 499364.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47997184 + 415996816 = 6928^2 + 20396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 200852 + ... + 203148.

Almost surely, 2^463994000 is an apocalyptic number.

463994000 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 463994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566769528).

463994000 is an abundant number, since it is smaller than the sum of its proper divisors (669545056).

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

463994000 is a wasteful number, since it uses less digits than its factorization.

463994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 463994000 is about 21540.5199565841. The cubic root of 463994000 is about 774.1719911486.

The spelling of 463994000 in words is "four hundred sixty-three million, nine hundred ninety-four thousand".