42398100 has 144 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 11001600.

The previous prime is 42398077. The next prime is 42398107. The reversal of 42398100 is 189324.

It is a super-2 number, since 2×42398100² = 3595197767220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42398107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110509 + ... + 110891.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 2^42398100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

42398100 is an abundant number, since it is smaller than the sum of its proper divisors (97592940).

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

42398100 is a wasteful number, since it uses less digits than its factorization.

42398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42398100 is about 6511.3823417152. The cubic root of 42398100 is about 348.6974715660.

The spelling of 42398100 in words is "forty-two million, three hundred ninety-eight thousand, one hundred".