461380 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 163328.

The previous prime is 461359. The next prime is 461381. The reversal of 461380 is 83164.

It is not an unprimeable number, because it can be changed into a prime (461381) by changing a digit.

461380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7791 + ... + 7849.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁶¹³⁸⁰ is an apocalyptic number.

461380 is the 340-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

461380 is an abundant number, since it is smaller than the sum of its proper divisors (627260).

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

461380 is a wasteful number, since it uses less digits than its factorization.

461380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 461380 is about 679.2495859402. The cubic root of 461380 is about 77.2715436539.

It can be divided in two parts, 461 and 380, that added together give a square (841 = 29²).

The spelling of 461380 in words is "four hundred sixty-one thousand, three hundred eighty".