42414200 has 48 divisors (see below), whose sum is σ = 101808960. Its totient is φ = 16416000.

The previous prime is 42414187. The next prime is 42414221. The reversal of 42414200 is 241424.

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, 2780 + ... + 9620.

It is an arithmetic number, because the mean of its divisors is an integer number (2121020).

Almost surely, 2^42414200 is an apocalyptic number.

42414200 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 42414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50904480).

42414200 is an abundant number, since it is smaller than the sum of its proper divisors (59394760).

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

42414200 is a wasteful number, since it uses less digits than its factorization.

42414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42414200 is about 6512.6185209945. The cubic root of 42414200 is about 348.7416034086.

Adding to 42414200 its reverse (241424), we get a palindrome (42655624).

The spelling of 42414200 in words is "forty-two million, four hundred fourteen thousand, two hundred".