292805442 has 80 divisors (see below), whose sum is σ = 673263360. Its totient is φ = 95090112.

The previous prime is 292805437. The next prime is 292805519. The reversal of 292805442 is 244508292.

It is a junction number, because it is equal to n+sod(n) for n = 292805397 and 292805406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1753243 + ... + 1753409.

It is an arithmetic number, because the mean of its divisors is an integer number (8415792).

Almost surely, 2^292805442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 292805442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336631680).

292805442 is an abundant number, since it is smaller than the sum of its proper divisors (380457918).

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

292805442 is a wasteful number, since it uses less digits than its factorization.

292805442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 292805442 is about 17111.5587250256. The cubic root of 292805442 is about 664.0381761207.

The spelling of 292805442 in words is "two hundred ninety-two million, eight hundred five thousand, four hundred forty-two".