42945000 has 160 divisors (see below), whose sum is σ = 153700800. Its totient is φ = 9792000.

The previous prime is 42944977. The next prime is 42945017. The reversal of 42945000 is 54924.

42945000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104796 + ... + 105204.

It is an arithmetic number, because the mean of its divisors is an integer number (960630).

Almost surely, 2^42945000 is an apocalyptic number.

42945000 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 42945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76850400).

42945000 is an abundant number, since it is smaller than the sum of its proper divisors (110755800).

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

42945000 is a wasteful number, since it uses less digits than its factorization.

42945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42945000 is about 6553.2434717474. The cubic root of 42945000 is about 350.1903726239.

Adding to 42945000 its reverse (54924), we get a palindrome (42999924).

It can be divided in two parts, 42 and 945000, that multiplied together give a square (39690000 = 6300²).

The spelling of 42945000 in words is "forty-two million, nine hundred forty-five thousand".