463970304 has 336 divisors, whose sum is σ = 1635678720. Its totient is φ = 123863040.

The previous prime is 463970279. The next prime is 463970359. The reversal of 463970304 is 403079364.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14966769 + ... + 14966799.

Almost surely, 2^463970304 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 463970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817839360).

463970304 is an abundant number, since it is smaller than the sum of its proper divisors (1171708416).

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

463970304 is a wasteful number, since it uses less digits than its factorization.

463970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 463970304 is about 21539.9699164135. The cubic root of 463970304 is about 774.1588120329.

The spelling of 463970304 in words is "four hundred sixty-three million, nine hundred seventy thousand, three hundred four".