42242400 has 108 divisors (see below), whose sum is σ = 148982652. Its totient is φ = 11262720.

The previous prime is 42242393. The next prime is 42242413. The reversal of 42242400 is 424224.

42242400 is a `hidden beast` number, since 422 + 4 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4267 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (1379469).

Almost surely, 2^42242400 is an apocalyptic number.

42242400 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 42242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74491326).

42242400 is an abundant number, since it is smaller than the sum of its proper divisors (106740252).

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

42242400 is a wasteful number, since it uses less digits than its factorization.

42242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42242400 is about 6499.4153583226. The cubic root of 42242400 is about 348.2701034218.

Adding to 42242400 its reverse (424224), we get a palindrome (42666624).

The spelling of 42242400 in words is "forty-two million, two hundred forty-two thousand, four hundred".