42381600 has 72 divisors (see below), whose sum is σ = 137959920. Its totient is φ = 11301120.

The previous prime is 42381593. The next prime is 42381611. The reversal of 42381600 is 618324.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6430 + ... + 11229.

It is an arithmetic number, because the mean of its divisors is an integer number (1916110).

Almost surely, 2^42381600 is an apocalyptic number.

42381600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42381600 is an abundant number, since it is smaller than the sum of its proper divisors (95578320).

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

42381600 is a wasteful number, since it uses less digits than its factorization.

42381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17682 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42381600 is about 6510.1152063539. The cubic root of 42381600 is about 348.6522316865.

Adding to 42381600 its reverse (618324), we get a palindrome (42999924).

The spelling of 42381600 in words is "forty-two million, three hundred eighty-one thousand, six hundred".