42057800 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 15628800.

The previous prime is 42057797. The next prime is 42057803. The reversal of 42057800 is 875024.

It is an interprime number because it is at equal distance from previous prime (42057797) and next prime (42057803).

It is a self number, because there is not a number n which added to its sum of digits gives 42057800.

It is not an unprimeable number, because it can be changed into a prime (42057803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188489 + ... + 188711.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^42057800 is an apocalyptic number.

42057800 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 42057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

42057800 is an abundant number, since it is smaller than the sum of its proper divisors (62935480).

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

42057800 is a wasteful number, since it uses less digits than its factorization.

42057800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 42057800 is about 6485.1985320420. The cubic root of 42057800 is about 347.7620472228.

The spelling of 42057800 in words is "forty-two million, fifty-seven thousand, eight hundred".