930493440 has 352 divisors, whose sum is σ = 3395727360. Its totient is φ = 241532928.

The previous prime is 930493397. The next prime is 930493477. The reversal of 930493440 is 44394039.

930493440 is a `hidden beast` number, since 9 + 304 + 9 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 930493395 and 930493404.

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 31 ways as a sum of consecutive naturals, for example, 7326657 + ... + 7326783.

Almost surely, 2^930493440 is an apocalyptic number.

930493440 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 930493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697863680).

930493440 is an abundant number, since it is smaller than the sum of its proper divisors (2465233920).

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

930493440 is a wasteful number, since it uses less digits than its factorization.

930493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 930493440 is about 30503.9905586138. The cubic root of 930493440 is about 976.2726104028.

The spelling of 930493440 in words is "nine hundred thirty million, four hundred ninety-three thousand, four hundred forty".