42405300 has 216 divisors, whose sum is σ = 155990016. Its totient is φ = 9434880.

The previous prime is 42405287. The next prime is 42405313. The reversal of 42405300 is 350424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42405287) and next prime (42405313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 333837 + ... + 333963.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 2^42405300 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 42405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

42405300 is an abundant number, since it is smaller than the sum of its proper divisors (113584716).

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

42405300 is a wasteful number, since it uses less digits than its factorization.

42405300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42405300 is about 6511.9351962378. The cubic root of 42405300 is about 348.7172089260.

Adding to 42405300 its reverse (350424), we get a palindrome (42755724).

The spelling of 42405300 in words is "forty-two million, four hundred five thousand, three hundred".