462799560 has 128 divisors (see below), whose sum is σ = 1469249280. Its totient is φ = 116379648.

The previous prime is 462799559. The next prime is 462799567. The reversal of 462799560 is 65997264.

It is not an unprimeable number, because it can be changed into a prime (462799567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200332 + ... + 202628.

It is an arithmetic number, because the mean of its divisors is an integer number (11478510).

Almost surely, 2^462799560 is an apocalyptic number.

462799560 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 462799560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734624640).

462799560 is an abundant number, since it is smaller than the sum of its proper divisors (1006449720).

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

462799560 is a wasteful number, since it uses less digits than its factorization.

462799560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 462799560 is about 21512.7766687613. The cubic root of 462799560 is about 773.5071143014.

The spelling of 462799560 in words is "four hundred sixty-two million, seven hundred ninety-nine thousand, five hundred sixty".