461361384 has 72 divisors (see below), whose sum is σ = 1373465730. Its totient is φ = 139803840.

The previous prime is 461361379. The next prime is 461361389. The reversal of 461361384 is 483163164.

It is a happy number.

461361384 is a `hidden beast` number, since 4 + 613 + 6 + 1 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (461361379) and next prime (461361389).

It can be written as a sum of positive squares in only one way, i.e., 460102500 + 1258884 = 21450^2 + 1122^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (461361389) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17767 + ... + 35190.

Almost surely, 2^461361384 is an apocalyptic number.

461361384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461361384 is an abundant number, since it is smaller than the sum of its proper divisors (912104346).

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

461361384 is a wasteful number, since it uses less digits than its factorization.

461361384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52991 (or 52973 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 461361384 is about 21479.3245703863. The cubic root of 461361384 is about 772.7050437577.

The spelling of 461361384 in words is "four hundred sixty-one million, three hundred sixty-one thousand, three hundred eighty-four".