460406790 has 96 divisors (see below), whose sum is σ = 1220637600. Its totient is φ = 120384000.

The previous prime is 460406789. The next prime is 460406851. The reversal of 460406790 is 97604064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1834165 + ... + 1834415.

It is an arithmetic number, because the mean of its divisors is an integer number (12714975).

Almost surely, 2^460406790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460406790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610318800).

460406790 is an abundant number, since it is smaller than the sum of its proper divisors (760230810).

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

460406790 is a wasteful number, since it uses less digits than its factorization.

460406790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 460406790 is about 21457.0918346359. The cubic root of 460406790 is about 772.1717460427.

The spelling of 460406790 in words is "four hundred sixty million, four hundred six thousand, seven hundred ninety".