462532032 has 84 divisors (see below), whose sum is σ = 1374913176. Its totient is φ = 154172160.

The previous prime is 462532019. The next prime is 462532043. The reversal of 462532032 is 230235264.

462532032 is a `hidden beast` number, since 4 + 625 + 3 + 2 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 462531987 and 462532005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682 + ... + 30422.

It is an arithmetic number, because the mean of its divisors is an integer number (16368014).

Almost surely, 2^462532032 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 462532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456588).

462532032 is an abundant number, since it is smaller than the sum of its proper divisors (912381144).

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

462532032 is an equidigital number, since it uses as much as digits as its factorization.

462532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29768 (or 29746 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 462532032 is about 21506.5578835852. The cubic root of 462532032 is about 773.3580399030.

Adding to 462532032 its reverse (230235264), we get a palindrome (692767296).

The spelling of 462532032 in words is "four hundred sixty-two million, five hundred thirty-two thousand, thirty-two".