42405192 has 96 divisors (see below), whose sum is σ = 124113600. Its totient is φ = 13039488.

The previous prime is 42405151. The next prime is 42405197. The reversal of 42405192 is 29150424.

It is not an unprimeable number, because it can be changed into a prime (42405197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47583 + ... + 48465.

It is an arithmetic number, because the mean of its divisors is an integer number (1292850).

Almost surely, 2^42405192 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 42405192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62056800).

42405192 is an abundant number, since it is smaller than the sum of its proper divisors (81708408).

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

42405192 is a wasteful number, since it uses less digits than its factorization.

42405192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42405192 is about 6511.9269037667. The cubic root of 42405192 is about 348.7169128821.

The spelling of 42405192 in words is "forty-two million, four hundred five thousand, one hundred ninety-two".