460825772 has 48 divisors (see below), whose sum is σ = 932225280. Its totient is φ = 197121600.

The previous prime is 460825759. The next prime is 460825777. The reversal of 460825772 is 277528064.

It is not an unprimeable number, because it can be changed into a prime (460825777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129497 + ... + 133007.

It is an arithmetic number, because the mean of its divisors is an integer number (19421360).

Almost surely, 2^460825772 is an apocalyptic number.

It is an amenable number.

460825772 is an abundant number, since it is smaller than the sum of its proper divisors (471399508).

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

460825772 is a wasteful number, since it uses less digits than its factorization.

460825772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 460825772 is about 21466.8528666873. The cubic root of 460825772 is about 772.4059070645.

The spelling of 460825772 in words is "four hundred sixty million, eight hundred twenty-five thousand, seven hundred seventy-two".