460000535920 has 80 divisors (see below), whose sum is σ = 1072675094400. Its totient is φ = 183454810112.

The previous prime is 460000535893. The next prime is 460000535921. The reversal of 460000535920 is 29535000064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460000535921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58797129 + ... + 58804951.

It is an arithmetic number, because the mean of its divisors is an integer number (13408438680).

Almost surely, 2^460000535920 is an apocalyptic number.

460000535920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460000535920 is an abundant number, since it is smaller than the sum of its proper divisors (612674558480).

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

460000535920 is a wasteful number, since it uses less digits than its factorization.

460000535920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 460000535920 its reverse (29535000064), we get a palindrome (489535535984).

The spelling of 460000535920 in words is "four hundred sixty billion, five hundred thirty-five thousand, nine hundred twenty".