462512568 has 96 divisors (see below), whose sum is σ = 1349395200. Its totient is φ = 131721408.

The previous prime is 462512563. The next prime is 462512569. The reversal of 462512568 is 865215264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462512563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642913 + ... + 643631.

It is an arithmetic number, because the mean of its divisors is an integer number (14056200).

Almost surely, 2^462512568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462512568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674697600).

462512568 is an abundant number, since it is smaller than the sum of its proper divisors (886882632).

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

462512568 is a wasteful number, since it uses less digits than its factorization.

462512568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1278 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 462512568 is about 21506.1053656863. The cubic root of 462512568 is about 773.3471917519.

The spelling of 462512568 in words is "four hundred sixty-two million, five hundred twelve thousand, five hundred sixty-eight".