463286304 has 144 divisors (see below), whose sum is σ = 1471684032. Its totient is φ = 142518528.

The previous prime is 463286273. The next prime is 463286311. The reversal of 463286304 is 403682364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98797 + ... + 103379.

It is an arithmetic number, because the mean of its divisors is an integer number (10220028).

Almost surely, 2^463286304 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 463286304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735842016).

463286304 is an abundant number, since it is smaller than the sum of its proper divisors (1008397728).

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

463286304 is a wasteful number, since it uses less digits than its factorization.

463286304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 463286304 is about 21524.0866008293. The cubic root of 463286304 is about 773.7781949616.

The spelling of 463286304 in words is "four hundred sixty-three million, two hundred eighty-six thousand, three hundred four".