463018560 has 112 divisors (see below), whose sum is σ = 1490447616. Its totient is φ = 121761792.

The previous prime is 463018529. The next prime is 463018561. The reversal of 463018560 is 65810364.

It is not an unprimeable number, because it can be changed into a prime (463018561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66777 + ... + 73383.

It is an arithmetic number, because the mean of its divisors is an integer number (13307568).

Almost surely, 2^463018560 is an apocalyptic number.

463018560 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 463018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745223808).

463018560 is an abundant number, since it is smaller than the sum of its proper divisors (1027429056).

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

463018560 is a wasteful number, since it uses less digits than its factorization.

463018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 463018560 is about 21517.8660652027. The cubic root of 463018560 is about 773.6291047263.

The spelling of 463018560 in words is "four hundred sixty-three million, eighteen thousand, five hundred sixty".