930324561408 has 240 divisors, whose sum is σ = 2930721908400. Its totient is φ = 281757450240.

The previous prime is 930324561391. The next prime is 930324561421. The reversal of 930324561408 is 804165423039.

930324561408 is a `hidden beast` number, since 9 + 3 + 0 + 3 + 24 + 5 + 614 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115007028 + ... + 115015116.

It is an arithmetic number, because the mean of its divisors is an integer number (12211341285).

Almost surely, 2^930324561408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930324561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465360954200).

930324561408 is an abundant number, since it is smaller than the sum of its proper divisors (2000397346992).

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

930324561408 is a wasteful number, since it uses less digits than its factorization.

930324561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 930324561408 in words is "nine hundred thirty billion, three hundred twenty-four million, five hundred sixty-one thousand, four hundred eight".