424113600 has 168 divisors, whose sum is σ = 1403146800. Its totient is φ = 112148480.

The previous prime is 424113563. The next prime is 424113607. The reversal of 424113600 is 6311424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424113607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714904 + ... + 715496.

Almost surely, 2^424113600 is an apocalyptic number.

424113600 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 424113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701573400).

424113600 is an abundant number, since it is smaller than the sum of its proper divisors (979033200).

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

424113600 is a wasteful number, since it uses less digits than its factorization.

424113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 424113600 is about 20594.0185490836. The cubic root of 424113600 is about 751.3242382590.

The spelling of 424113600 in words is "four hundred twenty-four million, one hundred thirteen thousand, six hundred".