460449750 has 64 divisors (see below), whose sum is σ = 1155600576. Its totient is φ = 122112000.

The previous prime is 460449749. The next prime is 460449761. The reversal of 460449750 is 57944064.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 460449699 and 460449708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143160 + ... + 146340.

It is an arithmetic number, because the mean of its divisors is an integer number (18056259).

Almost surely, 2^460449750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460449750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577800288).

460449750 is an abundant number, since it is smaller than the sum of its proper divisors (695150826).

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

460449750 is a wasteful number, since it uses less digits than its factorization.

460449750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 460449750 is about 21458.0928789117. The cubic root of 460449750 is about 772.1957620993.

The spelling of 460449750 in words is "four hundred sixty million, four hundred forty-nine thousand, seven hundred fifty".