460073845242 has 128 divisors (see below), whose sum is σ = 1153462026240. Its totient is φ = 134666712000.

The previous prime is 460073845229. The next prime is 460073845243. The reversal of 460073845242 is 242548370064.

It is a happy number.

460073845242 is a `hidden beast` number, since 4 + 600 + 7 + 38 + 4 + 5 + 2 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (460073845243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9938883 + ... + 9985065.

It is an arithmetic number, because the mean of its divisors is an integer number (9011422080).

Almost surely, 2^460073845242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460073845242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576731013120).

460073845242 is an abundant number, since it is smaller than the sum of its proper divisors (693388180998).

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

460073845242 is a wasteful number, since it uses less digits than its factorization.

460073845242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46777 (or 46771 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 460073845242 in words is "four hundred sixty billion, seventy-three million, eight hundred forty-five thousand, two hundred forty-two".