930424320 has 400 divisors, whose sum is σ = 3814496928. Its totient is φ = 212336640.

The previous prime is 930424309. The next prime is 930424333. The reversal of 930424320 is 23424039.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451200 + ... + 1451840.

Almost surely, 2^930424320 is an apocalyptic number.

930424320 is a gapful number since it is divisible by the number (90) 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 930424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907248464).

930424320 is an abundant number, since it is smaller than the sum of its proper divisors (2884072608).

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

930424320 is an equidigital number, since it uses as much as digits as its factorization.

930424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 930424320 is about 30502.8575710539. The cubic root of 930424320 is about 976.2484362636.

Adding to 930424320 its reverse (23424039), we get a palindrome (953848359).

The spelling of 930424320 in words is "nine hundred thirty million, four hundred twenty-four thousand, three hundred twenty".