930328634430 has 384 divisors, whose sum is σ = 2985665961600. Its totient is φ = 204184571904.

The previous prime is 930328634399. The next prime is 930328634537. The reversal of 930328634430 is 34436823039.

930328634430 is a `hidden beast` number, since 9 + 3 + 0 + 3 + 2 + 8 + 634 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×930328634430² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21519276 + ... + 21562464.

It is an arithmetic number, because the mean of its divisors is an integer number (7775171775).

Almost surely, 2^930328634430 is an apocalyptic number.

930328634430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 930328634430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492832980800).

930328634430 is an abundant number, since it is smaller than the sum of its proper divisors (2055337327170).

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

930328634430 is a wasteful number, since it uses less digits than its factorization.

930328634430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43273 (or 43248 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 930328634430 in words is "nine hundred thirty billion, three hundred twenty-eight million, six hundred thirty-four thousand, four hundred thirty".