42432400 has 60 divisors (see below), whose sum is σ = 104356912. Its totient is φ = 16571520.

The previous prime is 42432389. The next prime is 42432407. The reversal of 42432400 is 423424.

42432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42432407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15967 + ... + 18433.

Almost surely, 2^42432400 is an apocalyptic number.

42432400 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 42432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52178456).

42432400 is an abundant number, since it is smaller than the sum of its proper divisors (61924512).

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

42432400 is a wasteful number, since it uses less digits than its factorization.

42432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42432400 is about 6514.0156585627. The cubic root of 42432400 is about 348.7914781326.

Adding to 42432400 its reverse (423424), we get a palindrome (42855824).

The spelling of 42432400 in words is "forty-two million, four hundred thirty-two thousand, four hundred".