463582560 has 192 divisors, whose sum is σ = 1678247424. Its totient is φ = 105369600.

The previous prime is 463582519. The next prime is 463582579. The reversal of 463582560 is 65285364.

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, 943915 + ... + 944405.

It is an arithmetic number, because the mean of its divisors is an integer number (8740872).

Almost surely, 2^463582560 is an apocalyptic number.

463582560 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 463582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839123712).

463582560 is an abundant number, since it is smaller than the sum of its proper divisors (1214664864).

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

463582560 is a wasteful number, since it uses less digits than its factorization.

463582560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 463582560 is about 21530.9674654903. The cubic root of 463582560 is about 773.9430948556.

The spelling of 463582560 in words is "four hundred sixty-three million, five hundred eighty-two thousand, five hundred sixty".