463804416 has 72 divisors (see below), whose sum is σ = 1339605540. Its totient is φ = 154595328.

The previous prime is 463804399. The next prime is 463804519. The reversal of 463804416 is 614408364.

463804416 is a `hidden beast` number, since 4 + 638 + 0 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×463804416² = 430229072602202112, 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 5 ways as a sum of consecutive naturals, for example, 5851 + ... + 31013.

Almost surely, 2^463804416 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 463804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669802770).

463804416 is an abundant number, since it is smaller than the sum of its proper divisors (875801124).

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

463804416 is a wasteful number, since it uses less digits than its factorization.

463804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25191 (or 25168 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 463804416 is about 21536.1188704000. The cubic root of 463804416 is about 774.0665367554.

The spelling of 463804416 in words is "four hundred sixty-three million, eight hundred four thousand, four hundred sixteen".