463288960 has 64 divisors (see below), whose sum is σ = 1110198600. Its totient is φ = 184872960.

The previous prime is 463288933. The next prime is 463288979. The reversal of 463288960 is 69882364.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303317056 + 159971904 = 17416^2 + 12648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 463288960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453250 + ... + 454270.

Almost surely, 2^463288960 is an apocalyptic number.

463288960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555099300).

463288960 is an abundant number, since it is smaller than the sum of its proper divisors (646909640).

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

463288960 is a wasteful number, since it uses less digits than its factorization.

463288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 463288960 is about 21524.1482990617. The cubic root of 463288960 is about 773.7796736375.

The spelling of 463288960 in words is "four hundred sixty-three million, two hundred eighty-eight thousand, nine hundred sixty".