42808920 has 256 divisors, whose sum is σ = 165473280. Its totient is φ = 8601600.

The previous prime is 42808897. The next prime is 42808937. The reversal of 42808920 is 2980824.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378784 + ... + 378896.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^42808920 is an apocalyptic number.

42808920 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 42808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

42808920 is an abundant number, since it is smaller than the sum of its proper divisors (122664360).

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

42808920 is a wasteful number, since it uses less digits than its factorization.

42808920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 42808920 is about 6542.8525888942. The cubic root of 42808920 is about 349.8200980214.

The spelling of 42808920 in words is "forty-two million, eight hundred eight thousand, nine hundred twenty".