930005639424 has 405 divisors, whose sum is σ = 2865916376631. Its totient is φ = 299957022720.

The previous prime is 930005639419. The next prime is 930005639447. The reversal of 930005639424 is 424936500039.

The square root of 930005639424 is 964368.

It is a perfect power (a square), and thus also a powerful number.

930005639424 is a `hidden beast` number, since 9 + 3 + 0 + 0 + 0 + 5 + 639 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46345478400 + 883660161024 = 215280^2 + 940032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 930005639424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5138152614 + ... + 5138152794.

Almost surely, 2^930005639424 is an apocalyptic number.

930005639424 is the 964368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930005639424

930005639424 is an abundant number, since it is smaller than the sum of its proper divisors (1935910737207).

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

930005639424 is an frugal number, since it uses more digits than its factorization.

930005639424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 930005639424 in words is "nine hundred thirty billion, five million, six hundred thirty-nine thousand, four hundred twenty-four".