462468032 has 112 divisors (see below), whose sum is σ = 1032918432. Its totient is φ = 204042240.

The previous prime is 462468029. The next prime is 462468047. The reversal of 462468032 is 230864264.

It is a super-3 number, since 3×462468032³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 462467983 and 462468001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554982 + ... + 2555162.

It is an arithmetic number, because the mean of its divisors is an integer number (9222486).

Almost surely, 2^462468032 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 462468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516459216).

462468032 is an abundant number, since it is smaller than the sum of its proper divisors (570450400).

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

462468032 is a wasteful number, since it uses less digits than its factorization.

462468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 462468032 is about 21505.0699138598. The cubic root of 462468032 is about 773.3223687176.

The spelling of 462468032 in words is "four hundred sixty-two million, four hundred sixty-eight thousand, thirty-two".