424340000 has 180 divisors, whose sum is σ = 1217183814. Its totient is φ = 145152000.

The previous prime is 424339991. The next prime is 424340003. The reversal of 424340000 is 43424.

It can be written as a sum of positive squares in 5 ways, for example, as 5400976 + 418939024 = 2324^2 + 20468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424340003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 979784 + ... + 980216.

Almost surely, 2^424340000 is an apocalyptic number.

424340000 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 424340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608591907).

424340000 is an abundant number, since it is smaller than the sum of its proper divisors (792843814).

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

424340000 is an equidigital number, since it uses as much as digits as its factorization.

424340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 424340000 is about 20599.5145573870. The cubic root of 424340000 is about 751.4579049221.

Adding to 424340000 its reverse (43424), we get a palindrome (424383424).

The spelling of 424340000 in words is "four hundred twenty-four million, three hundred forty thousand".