42417210 has 64 divisors (see below), whose sum is σ = 117604224. Its totient is φ = 9676800.

The previous prime is 42417209. The next prime is 42417223. The reversal of 42417210 is 1271424.

It is a happy number.

42417210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1830 + ... + 9390.

It is an arithmetic number, because the mean of its divisors is an integer number (1837566).

Almost surely, 2^42417210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42417210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58802112).

42417210 is an abundant number, since it is smaller than the sum of its proper divisors (75187014).

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

42417210 is a wasteful number, since it uses less digits than its factorization.

42417210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 42417210 is about 6512.8496067390. The cubic root of 42417210 is about 348.7498529052.

Adding to 42417210 its reverse (1271424), we get a palindrome (43688634).

The spelling of 42417210 in words is "forty-two million, four hundred seventeen thousand, two hundred ten".