465738 has 32 divisors (see below), whose sum is σ = 1147776. Its totient is φ = 122688.

The previous prime is 465721. The next prime is 465739. The reversal of 465738 is 837564.

It is a junction number, because it is equal to n+sod(n) for n = 465699 and 465708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465738.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2⁴⁶⁵⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573888).

465738 is an abundant number, since it is smaller than the sum of its proper divisors (682038).

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

465738 is a wasteful number, since it uses less digits than its factorization.

465738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878.

The product of its digits is 20160, while the sum is 33.

The square root of 465738 is about 682.4499981684. The cubic root of 465738 is about 77.5140730600.

The spelling of 465738 in words is "four hundred sixty-five thousand, seven hundred thirty-eight".