42434400 has 72 divisors (see below), whose sum is σ = 138131784. Its totient is φ = 11315200.

The previous prime is 42434377. The next prime is 42434401. The reversal of 42434400 is 443424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6441 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (1918497).

Almost surely, 2^42434400 is an apocalyptic number.

42434400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434400 is an abundant number, since it is smaller than the sum of its proper divisors (95697384).

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

42434400 is a wasteful number, since it uses less digits than its factorization.

42434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17704 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42434400 is about 6514.1691718898. The cubic root of 42434400 is about 348.7969580017.

Adding to 42434400 its reverse (443424), we get a palindrome (42877824).

The spelling of 42434400 in words is "forty-two million, four hundred thirty-four thousand, four hundred".