42426400 has 72 divisors (see below), whose sum is σ = 104501124. Its totient is φ = 16819200.

The previous prime is 42426379. The next prime is 42426413. The reversal of 42426400 is 462424.

It can be written as a sum of positive squares in 6 ways, for example, as 12702096 + 29724304 = 3564^2 + 5452^2 .

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, 144654 + ... + 144946.

Almost surely, 2^42426400 is an apocalyptic number.

42426400 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 42426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52250562).

42426400 is an abundant number, since it is smaller than the sum of its proper divisors (62074724).

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

42426400 is a wasteful number, since it uses less digits than its factorization.

42426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 42426400 is about 6513.5550968730. Note that the first 3 decimals coincide. The cubic root of 42426400 is about 348.7750374920.

Adding to 42426400 its reverse (462424), we get a palindrome (42888824).

The spelling of 42426400 in words is "forty-two million, four hundred twenty-six thousand, four hundred".