4642307406 has 96 divisors (see below), whose sum is σ = 11261472768. Its totient is φ = 1370041920.

The previous prime is 4642307401. The next prime is 4642307473. The reversal of 4642307406 is 6047032464.

4642307406 is a `hidden beast` number, since 4 + 642 + 3 + 0 + 7 + 4 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642307401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2074120 + ... + 2076356.

It is an arithmetic number, because the mean of its divisors is an integer number (117307008).

Almost surely, 2^4642307406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642307406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630736384).

4642307406 is an abundant number, since it is smaller than the sum of its proper divisors (6619165362).

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

4642307406 is a wasteful number, since it uses less digits than its factorization.

4642307406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4642307406 is about 68134.4803018266. The cubic root of 4642307406 is about 1668.1866132671.

The spelling of 4642307406 in words is "four billion, six hundred forty-two million, three hundred seven thousand, four hundred six".