42524400 has 60 divisors (see below), whose sum is σ = 136223672. Its totient is φ = 11339520.

The previous prime is 42524399. The next prime is 42524407. The reversal of 42524400 is 442524.

42524400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42524407) 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, 16519 + ... + 18918.

Almost surely, 2^42524400 is an apocalyptic number.

42524400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42524400 is an abundant number, since it is smaller than the sum of its proper divisors (93699272).

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

42524400 is a wasteful number, since it uses less digits than its factorization.

42524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35458 (or 35447 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42524400 is about 6521.0735312524. The cubic root of 42524400 is about 349.0433741107.

Adding to 42524400 its reverse (442524), we get a palindrome (42966924).

It can be divided in two parts, 42524 and 400, that added together give a palindrome (42924).

The spelling of 42524400 in words is "forty-two million, five hundred twenty-four thousand, four hundred".