465732 has 36 divisors (see below), whose sum is σ = 1248156. Its totient is φ = 145920.

The previous prime is 465721. The next prime is 465739. The reversal of 465732 is 237564.

It is a happy number.

465732 is a `hidden beast` number, since 4 + 657 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 331776 = 366^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 465696 and 465705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465739) by changing a digit.

465732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2⁴⁶⁵⁷³² 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 465732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624078).

465732 is an abundant number, since it is smaller than the sum of its proper divisors (782424).

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

465732 is a wasteful number, since it uses less digits than its factorization.

465732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 783 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 465732 is about 682.4456022278. The cubic root of 465732 is about 77.5137401930.

It can be divided in two parts, 46 and 5732, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 465732 in words is "four hundred sixty-five thousand, seven hundred thirty-two".