42306000 has 160 divisors (see below), whose sum is σ = 149026176. Its totient is φ = 10240000.

The previous prime is 42305987. The next prime is 42306029. The reversal of 42306000 is 60324.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65680 + ... + 66320.

Almost surely, 2^42306000 is an apocalyptic number.

42306000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74513088).

42306000 is an abundant number, since it is smaller than the sum of its proper divisors (106720176).

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

42306000 is a wasteful number, since it uses less digits than its factorization.

42306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42306000 is about 6504.3062658519. The cubic root of 42306000 is about 348.4448004999. Note that the first 3 decimals are identical.

Adding to 42306000 its reverse (60324), we get a palindrome (42366324).

The spelling of 42306000 in words is "forty-two million, three hundred six thousand".