463303904 has 96 divisors (see below), whose sum is σ = 1145249280. Its totient is φ = 179891712.

The previous prime is 463303891. The next prime is 463303909. The reversal of 463303904 is 409303364.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463303909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95522 + ... + 100254.

It is an arithmetic number, because the mean of its divisors is an integer number (11929680).

Almost surely, 2^463303904 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 463303904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572624640).

463303904 is an abundant number, since it is smaller than the sum of its proper divisors (681945376).

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

463303904 is a wasteful number, since it uses less digits than its factorization.

463303904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 463303904 is about 21524.4954412409. The cubic root of 463303904 is about 773.7879933114.

It can be divided in two parts, 46 and 3303904, that multiplied together give a square (151979584 = 12328²).

The spelling of 463303904 in words is "four hundred sixty-three million, three hundred three thousand, nine hundred four".