42365000 has 80 divisors (see below), whose sum is σ = 102389100. Its totient is φ = 16416000.

The previous prime is 42364991. The next prime is 42365017. The reversal of 42365000 is 56324.

It can be written as a sum of positive squares in 10 ways, for example, as 1737124 + 40627876 = 1318^2 + 6374^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184886 + ... + 185114.

Almost surely, 2^42365000 is an apocalyptic number.

42365000 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 42365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51194550).

42365000 is an abundant number, since it is smaller than the sum of its proper divisors (60024100).

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

42365000 is a wasteful number, since it uses less digits than its factorization.

42365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42365000 is about 6508.8401424524. The cubic root of 42365000 is about 348.6067057756.

The spelling of 42365000 in words is "forty-two million, three hundred sixty-five thousand".