42424400 has 60 divisors (see below), whose sum is σ = 103511232. Its totient is φ = 16705920.

The previous prime is 42424387. The next prime is 42424411. The reversal of 42424400 is 442424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26009 + ... + 27591.

Almost surely, 2^42424400 is an apocalyptic number.

42424400 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 42424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755616).

42424400 is an abundant number, since it is smaller than the sum of its proper divisors (61086832).

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

42424400 is a wasteful number, since it uses less digits than its factorization.

42424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42424400 is about 6513.4015690728. The cubic root of 42424400 is about 348.7695569340.

Adding to 42424400 its reverse (442424), we get a palindrome (42866824).

It can be divided in two parts, 42424 and 400, that added together give a palindrome (42824).

The spelling of 42424400 in words is "forty-two million, four hundred twenty-four thousand, four hundred".