42024400 has 60 divisors (see below), whose sum is σ = 110153664. Its totient is φ = 15280000.

The previous prime is 42024337. The next prime is 42024401. The reversal of 42024400 is 442024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 9175.

Almost surely, 2^42024400 is an apocalyptic number.

42024400 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 42024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55076832).

42024400 is an abundant number, since it is smaller than the sum of its proper divisors (68129264).

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

42024400 is a wasteful number, since it uses less digits than its factorization.

42024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9569 counting only the distinct ones).

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

The square root of 42024400 is about 6482.6229259459. The cubic root of 42024400 is about 347.6699649894.

Adding to 42024400 its reverse (442024), we get a palindrome (42466424).

It can be divided in two parts, 42024 and 400, that added together give a palindrome (42424).

The spelling of 42024400 in words is "forty-two million, twenty-four thousand, four hundred".