42717900 has 144 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 10560000.

The previous prime is 42717887. The next prime is 42717929. The reversal of 42717900 is 971724.

42717900 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 (30).

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 47 ways as a sum of consecutive naturals, for example, 282825 + ... + 282975.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^42717900 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 42717900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

42717900 is an abundant number, since it is smaller than the sum of its proper divisors (90273588).

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

42717900 is a wasteful number, since it uses less digits than its factorization.

42717900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 42717900 is about 6535.8932059819. The cubic root of 42717900 is about 349.5719938222.

The spelling of 42717900 in words is "forty-two million, seven hundred seventeen thousand, nine hundred".