461364 has 12 divisors (see below), whose sum is σ = 1076544. Its totient is φ = 153784.

The previous prime is 461359. The next prime is 461381. The reversal of 461364 is 463164.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461364.

It is an unprimeable number.

461364 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 3 ways as a sum of consecutive naturals, for example, 19212 + ... + 19235.

It is an arithmetic number, because the mean of its divisors is an integer number (89712).

2⁴⁶¹³⁶⁴ is an apocalyptic number.

It is an amenable number.

461364 is an abundant number, since it is smaller than the sum of its proper divisors (615180).

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

461364 is a wasteful number, since it uses less digits than its factorization.

461364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38454 (or 38452 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 461364 is about 679.2378081350. The cubic root of 461364 is about 77.2706504213.

The spelling of 461364 in words is "four hundred sixty-one thousand, three hundred sixty-four".