930312480 has 192 divisors, whose sum is σ = 3059417088. Its totient is φ = 237358080.

The previous prime is 930312473. The next prime is 930312499. The reversal of 930312480 is 84213039.

930312480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532337 + ... + 1532943.

It is an arithmetic number, because the mean of its divisors is an integer number (15934464).

Almost surely, 2^930312480 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 930312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529708544).

930312480 is an abundant number, since it is smaller than the sum of its proper divisors (2129104608).

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

930312480 is a wasteful number, since it uses less digits than its factorization.

930312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 930312480 is about 30501.0242450971. The cubic root of 930312480 is about 976.2093186275.

The spelling of 930312480 in words is "nine hundred thirty million, three hundred twelve thousand, four hundred eighty".