42798600 has 288 divisors, whose sum is σ = 162489600. Its totient is φ = 10022400.

The previous prime is 42798599. The next prime is 42798647. The reversal of 42798600 is 689724.

42798600 is a `hidden beast` number, since 42 + 7 + 9 + 8 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 725371 + ... + 725429.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^42798600 is an apocalyptic number.

42798600 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 42798600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

42798600 is an abundant number, since it is smaller than the sum of its proper divisors (119691000).

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

42798600 is a wasteful number, since it uses less digits than its factorization.

42798600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42798600 is about 6542.0638945214. The cubic root of 42798600 is about 349.7919852391.

The spelling of 42798600 in words is "forty-two million, seven hundred ninety-eight thousand, six hundred".