463138560 has 216 divisors, whose sum is σ = 1662875760. Its totient is φ = 123420672.

The previous prime is 463138553. The next prime is 463138597. The reversal of 463138560 is 65831364.

463138560 is a `hidden beast` number, since 4 + 63 + 1 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

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, 310296 + ... + 311784.

Almost surely, 2^463138560 is an apocalyptic number.

463138560 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 463138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831437880).

463138560 is an abundant number, since it is smaller than the sum of its proper divisors (1199737200).

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

463138560 is an equidigital number, since it uses as much as digits as its factorization.

463138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 463138560 is about 21520.6542651472. The cubic root of 463138560 is about 773.6959324820.

The spelling of 463138560 in words is "four hundred sixty-three million, one hundred thirty-eight thousand, five hundred sixty".