42466200 has 96 divisors (see below), whose sum is σ = 150466560. Its totient is φ = 9705600.

The previous prime is 42466199. The next prime is 42466219. The reversal of 42466200 is 266424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1567360).

Almost surely, 2^42466200 is an apocalyptic number.

42466200 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 42466200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75233280).

42466200 is an abundant number, since it is smaller than the sum of its proper divisors (108000360).

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

42466200 is a wasteful number, since it uses less digits than its factorization.

42466200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10137 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42466200 is about 6516.6095479168. The cubic root of 42466200 is about 348.8840647966.

The spelling of 42466200 in words is "forty-two million, four hundred sixty-six thousand, two hundred".