42416920 has 128 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 13063680.

The previous prime is 42416909. The next prime is 42416947. The reversal of 42416920 is 2961424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156385 + ... + 156655.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 2^42416920 is an apocalyptic number.

42416920 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 42416920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

42416920 is an abundant number, since it is smaller than the sum of its proper divisors (78220520).

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

42416920 is a wasteful number, since it uses less digits than its factorization.

42416920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42416920 is about 6512.8273430208. The cubic root of 42416920 is about 348.7490581202.

The spelling of 42416920 in words is "forty-two million, four hundred sixteen thousand, nine hundred twenty".