42257600 has 210 divisors, whose sum is σ = 132330444. Its totient is φ = 13171200.

The previous prime is 42257581. The next prime is 42257627. The reversal of 42257600 is 675224.

It is a self number, because there is not a number n which added to its sum of digits gives 42257600.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3841595 + ... + 3841605.

Almost surely, 2^42257600 is an apocalyptic number.

42257600 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 42257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66165222).

42257600 is an abundant number, since it is smaller than the sum of its proper divisors (90072844).

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

42257600 is an equidigital number, since it uses as much as digits as its factorization.

42257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 42257600 is about 6500.5845890966. The cubic root of 42257600 is about 348.3118708621.

The spelling of 42257600 in words is "forty-two million, two hundred fifty-seven thousand, six hundred".