460405824 has 28 divisors (see below), whose sum is σ = 1218157584. Its totient is φ = 153468544.

The previous prime is 460405823. The next prime is 460405867. The reversal of 460405824 is 428504064.

It is not an unprimeable number, because it can be changed into a prime (460405823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1198782 + ... + 1199165.

It is an arithmetic number, because the mean of its divisors is an integer number (43505628).

Almost surely, 2^460405824 is an apocalyptic number.

It is an amenable number.

460405824 is an abundant number, since it is smaller than the sum of its proper divisors (757751760).

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

460405824 is a wasteful number, since it uses less digits than its factorization.

460405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397962 (or 2397952 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 460405824 is about 21457.0693245839. The cubic root of 460405824 is about 772.1712059997.

Adding to 460405824 its reverse (428504064), we get a palindrome (888909888).

The spelling of 460405824 in words is "four hundred sixty million, four hundred five thousand, eight hundred twenty-four".