461384 has 48 divisors (see below), whose sum is σ = 1108080. Its totient is φ = 178080.

The previous prime is 461381. The next prime is 461393. The reversal of 461384 is 483164.

461384 = T₁₁₂ + T₁₁₃ + ... + T₁₆₀.

461384 = 72² + 73² + ... + 120².

461384 = 35³ + 36³ + ... + 42³.

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

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 11 ways as a sum of consecutive naturals, for example, 4259 + ... + 4365.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁴⁶¹³⁸⁴ is an apocalyptic number.

461384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554040).

461384 is an abundant number, since it is smaller than the sum of its proper divisors (646696).

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

461384 is a wasteful number, since it uses less digits than its factorization.

461384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 461384 is about 679.2525303597. The cubic root of 461384 is about 77.2717669588.

The spelling of 461384 in words is "four hundred sixty-one thousand, three hundred eighty-four".