463750304 has 48 divisors (see below), whose sum is σ = 953204616. Its totient is φ = 221875200.

The previous prime is 463750249. The next prime is 463750319. The reversal of 463750304 is 403057364.

It can be written as a sum of positive squares in 4 ways, for example, as 323280400 + 140469904 = 17980^2 + 11852^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 69014 + ... + 75434.

Almost surely, 2^463750304 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 463750304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476602308).

463750304 is an abundant number, since it is smaller than the sum of its proper divisors (489454312).

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

463750304 is a wasteful number, since it uses less digits than its factorization.

463750304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 463750304 is about 21534.8625256815. The cubic root of 463750304 is about 774.0364321711.

The spelling of 463750304 in words is "four hundred sixty-three million, seven hundred fifty thousand, three hundred four".