460800036 has 24 divisors (see below), whose sum is σ = 1194667040. Its totient is φ = 153599976.

The previous prime is 460800029. The next prime is 460800037. The reversal of 460800036 is 630008064.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 460799982 and 460800009.

It is not an unprimeable number, because it can be changed into a prime (460800037) 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 7 ways as a sum of consecutive naturals, for example, 2133226 + ... + 2133441.

Almost surely, 2^460800036 is an apocalyptic number.

It is an amenable number.

460800036 is an abundant number, since it is smaller than the sum of its proper divisors (733867004).

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

460800036 is a wasteful number, since it uses less digits than its factorization.

460800036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266680 (or 4266672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 460800036 is about 21466.2534225235. The cubic root of 460800036 is about 772.3915277989.

The spelling of 460800036 in words is "four hundred sixty million, eight hundred thousand, thirty-six".