42863200 has 72 divisors (see below), whose sum is σ = 105696360. Its totient is φ = 16972800.

The previous prime is 42863147. The next prime is 42863203. The reversal of 42863200 is 236824.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42863203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104596 + ... + 105004.

It is an arithmetic number, because the mean of its divisors is an integer number (1468005).

Almost surely, 2^42863200 is an apocalyptic number.

42863200 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 42863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52848180).

42863200 is an abundant number, since it is smaller than the sum of its proper divisors (62833160).

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

42863200 is a wasteful number, since it uses less digits than its factorization.

42863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42863200 is about 6546.9993126623. Note that the first 3 decimals coincide. The cubic root of 42863200 is about 349.9678882104.

The spelling of 42863200 in words is "forty-two million, eight hundred sixty-three thousand, two hundred".