424000200 has 192 divisors, whose sum is σ = 1490529600. Its totient is φ = 98841600.

The previous prime is 424000177. The next prime is 424000201. The reversal of 424000200 is 2000424.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424000201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146770 + ... + 149630.

It is an arithmetic number, because the mean of its divisors is an integer number (7763175).

Almost surely, 2^424000200 is an apocalyptic number.

424000200 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 424000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745264800).

424000200 is an abundant number, since it is smaller than the sum of its proper divisors (1066529400).

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

424000200 is a wasteful number, since it uses less digits than its factorization.

424000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 424000200 is about 20591.2651384027. The cubic root of 424000200 is about 751.2572689664.

Adding to 424000200 its reverse (2000424), we get a palindrome (426000624).

The spelling of 424000200 in words is "four hundred twenty-four million, two hundred", and thus it is an aban number.