42230400 has 192 divisors, whose sum is σ = 143428320. Its totient is φ = 10915840.

The previous prime is 42230381. The next prime is 42230413. The reversal of 42230400 is 403224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42230400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508759 + ... + 508841.

Almost surely, 2^42230400 is an apocalyptic number.

42230400 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 42230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160).

42230400 is an abundant number, since it is smaller than the sum of its proper divisors (101197920).

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

42230400 is a wasteful number, since it uses less digits than its factorization.

42230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42230400 is about 6498.4921327951. The cubic root of 42230400 is about 348.2371220489.

Adding to 42230400 its reverse (403224), we get a palindrome (42633624).

The spelling of 42230400 in words is "forty-two million, two hundred thirty thousand, four hundred".