42220400 has 60 divisors (see below), whose sum is σ = 103211400. Its totient is φ = 16592640.

The previous prime is 42220393. The next prime is 42220463. The reversal of 42220400 is 402224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22706 + ... + 24494.

It is an arithmetic number, because the mean of its divisors is an integer number (1720190).

Almost surely, 2^42220400 is an apocalyptic number.

42220400 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 42220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51605700).

42220400 is an abundant number, since it is smaller than the sum of its proper divisors (60991000).

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

42220400 is a wasteful number, since it uses less digits than its factorization.

42220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42220400 is about 6497.7226779850. The cubic root of 42220400 is about 348.2096327984.

Adding to 42220400 its reverse (402224), we get a palindrome (42622624).

The spelling of 42220400 in words is "forty-two million, two hundred twenty thousand, four hundred".