460424242264 has 128 divisors (see below), whose sum is σ = 1054672819200. Its totient is φ = 184057920000.

The previous prime is 460424242219. The next prime is 460424242279. The reversal of 460424242264 is 462242424064.

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, 19439149 + ... + 19462819.

It is an arithmetic number, because the mean of its divisors is an integer number (8239631400).

Almost surely, 2^460424242264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460424242264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527336409600).

460424242264 is an abundant number, since it is smaller than the sum of its proper divisors (594248576936).

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

460424242264 is a wasteful number, since it uses less digits than its factorization.

460424242264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23985 (or 23981 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 460424242264 in words is "four hundred sixty billion, four hundred twenty-four million, two hundred forty-two thousand, two hundred sixty-four".