42300192 has 96 divisors (see below), whose sum is σ = 124213824. Its totient is φ = 12492800.

The previous prime is 42300191. The next prime is 42300211. The reversal of 42300192 is 29100324.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42300191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42808 + ... + 43784.

It is an arithmetic number, because the mean of its divisors is an integer number (1293894).

Almost surely, 2^42300192 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 42300192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62106912).

42300192 is an abundant number, since it is smaller than the sum of its proper divisors (81913632).

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

42300192 is a wasteful number, since it uses less digits than its factorization.

42300192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42300192 is about 6503.8597770862. The cubic root of 42300192 is about 348.4288542983.

The spelling of 42300192 in words is "forty-two million, three hundred thousand, one hundred ninety-two".