42705000 has 240 divisors, whose sum is σ = 157777620. Its totient is φ = 10368000.

The previous prime is 42704971. The next prime is 42705007. The reversal of 42705000 is 50724.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 7918596 + 34786404 = 2814^2 + 5898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42705007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584964 + ... + 585036.

Almost surely, 2^42705000 is an apocalyptic number.

42705000 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 42705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78888810).

42705000 is an abundant number, since it is smaller than the sum of its proper divisors (115072620).

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

42705000 is a wasteful number, since it uses less digits than its factorization.

42705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42705000 is about 6534.9062732376. The cubic root of 42705000 is about 349.5368022302.

Adding to 42705000 its reverse (50724), we get a palindrome (42755724).

The spelling of 42705000 in words is "forty-two million, seven hundred five thousand".