42345800 has 144 divisors (see below), whose sum is σ = 119272500. Its totient is φ = 13923840.

The previous prime is 42345791. The next prime is 42345803. The reversal of 42345800 is 854324.

It can be written as a sum of positive squares in 6 ways, for example, as 7606564 + 34739236 = 2758^2 + 5894^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42345800.

It is not an unprimeable number, because it can be changed into a prime (42345803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284126 + ... + 284274.

Almost surely, 2^42345800 is an apocalyptic number.

42345800 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 42345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59636250).

42345800 is an abundant number, since it is smaller than the sum of its proper divisors (76926700).

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

42345800 is a wasteful number, since it uses less digits than its factorization.

42345800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 42345800 is about 6507.3650581476. The cubic root of 42345800 is about 348.5540344656.

The spelling of 42345800 in words is "forty-two million, three hundred forty-five thousand, eight hundred".