424320000 has 440 divisors, whose sum is σ = 1611496656. Its totient is φ = 98304000.

The previous prime is 424319999. The next prime is 424320011. The reversal of 424320000 is 23424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24959992 + ... + 24960008.

Almost surely, 2^424320000 is an apocalyptic number.

424320000 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 424320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805748328).

424320000 is an abundant number, since it is smaller than the sum of its proper divisors (1187176656).

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

424320000 is a wasteful number, since it uses less digits than its factorization.

424320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 424320000 is about 20599.0291033340. The cubic root of 424320000 is about 751.4460988277.

Adding to 424320000 its reverse (23424), we get a palindrome (424343424).

The spelling of 424320000 in words is "four hundred twenty-four million, three hundred twenty thousand".