42259800 has 192 divisors, whose sum is σ = 150883200. Its totient is φ = 9676800.

The previous prime is 42259799. The next prime is 42259801. The reversal of 42259800 is 895224.

It is an interprime number because it is at equal distance from previous prime (42259799) and next prime (42259801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42259801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125232 + ... + 125568.

It is an arithmetic number, because the mean of its divisors is an integer number (785850).

Almost surely, 2^42259800 is an apocalyptic number.

42259800 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 42259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75441600).

42259800 is an abundant number, since it is smaller than the sum of its proper divisors (108623400).

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

42259800 is a wasteful number, since it uses less digits than its factorization.

42259800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 42259800 is about 6500.7538024448. The cubic root of 42259800 is about 348.3179153197.

The spelling of 42259800 in words is "forty-two million, two hundred fifty-nine thousand, eight hundred".