42257880 has 192 divisors, whose sum is σ = 161179200. Its totient is φ = 9400320.

The previous prime is 42257861. The next prime is 42257899. The reversal of 42257880 is 8875224.

It is a happy number.

42257880 is a `hidden beast` number, since 4 + 2 + 2 + 578 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42257861) and next prime (42257899).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103116 + ... + 103524.

It is an arithmetic number, because the mean of its divisors is an integer number (839475).

Almost surely, 2^42257880 is an apocalyptic number.

42257880 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 42257880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589600).

42257880 is an abundant number, since it is smaller than the sum of its proper divisors (118921320).

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

42257880 is a wasteful number, since it uses less digits than its factorization.

42257880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42257880 is about 6500.6061255855. The cubic root of 42257880 is about 348.3126401683.

The spelling of 42257880 in words is "forty-two million, two hundred fifty-seven thousand, eight hundred eighty".