461736 has 72 divisors (see below), whose sum is σ = 1400490. Its totient is φ = 137280.

The previous prime is 461717. The next prime is 461801. The reversal of 461736 is 637164.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 108900 = 594^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8686 + ... + 8738.

2⁴⁶¹⁷³⁶ 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 461736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700245).

461736 is an abundant number, since it is smaller than the sum of its proper divisors (938754).

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

461736 is a wasteful number, since it uses less digits than its factorization.

461736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 461736 is about 679.5115893051. The cubic root of 461736 is about 77.2914127404.

The spelling of 461736 in words is "four hundred sixty-one thousand, seven hundred thirty-six".