42240400 has 30 divisors (see below), whose sum is σ = 101483522. Its totient is φ = 16896000.

The previous prime is 42240391. The next prime is 42240409. The reversal of 42240400 is 404224.

It is an interprime number because it is at equal distance from previous prime (42240391) and next prime (42240409).

It can be written as a sum of positive squares in 3 ways, for example, as 12166144 + 30074256 = 3488^2 + 5484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42240409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52401 + ... + 53200.

Almost surely, 2^42240400 is an apocalyptic number.

42240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42240400 is an abundant number, since it is smaller than the sum of its proper divisors (59243122).

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

42240400 is a wasteful number, since it uses less digits than its factorization.

42240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105619 (or 105608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42240400 is about 6499.2614965087. The cubic root of 42240400 is about 348.2646069601.

Adding to 42240400 its reverse (404224), we get a palindrome (42644624).

The spelling of 42240400 in words is "forty-two million, two hundred forty thousand, four hundred".