461340 has 72 divisors (see below), whose sum is σ = 1533168. Its totient is φ = 111360.

The previous prime is 461333. The next prime is 461359. The reversal of 461340 is 43164.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2⁴⁶¹³⁴⁰ 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 461340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584).

461340 is an abundant number, since it is smaller than the sum of its proper divisors (1071828).

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

461340 is a wasteful number, since it uses less digits than its factorization.

461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 461340 is about 679.2201410441. The cubic root of 461340 is about 77.2693105336.

The spelling of 461340 in words is "four hundred sixty-one thousand, three hundred forty".