463330560 has 288 divisors, whose sum is σ = 1846075392. Its totient is φ = 96215040.

The previous prime is 463330541. The next prime is 463330577. The reversal of 463330560 is 65033364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294897 + ... + 296463.

It is an arithmetic number, because the mean of its divisors is an integer number (6409984).

Almost surely, 2^463330560 is an apocalyptic number.

463330560 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 463330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923037696).

463330560 is an abundant number, since it is smaller than the sum of its proper divisors (1382744832).

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

463330560 is a wasteful number, since it uses less digits than its factorization.

463330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 463330560 is about 21525.1146338411. The cubic root of 463330560 is about 773.8028328850.

The spelling of 463330560 in words is "four hundred sixty-three million, three hundred thirty thousand, five hundred sixty".