930864480 has 384 divisors, whose sum is σ = 3661894656. Its totient is φ = 193536000.

The previous prime is 930864479. The next prime is 930864491. The reversal of 930864480 is 84468039.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4411575 + ... + 4411785.

It is an arithmetic number, because the mean of its divisors is an integer number (9536184).

Almost surely, 2^930864480 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 930864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830947328).

930864480 is an abundant number, since it is smaller than the sum of its proper divisors (2731030176).

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

930864480 is a wasteful number, since it uses less digits than its factorization.

930864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 930864480 is about 30510.0717796599. The cubic root of 930864480 is about 976.4023580673.

The spelling of 930864480 in words is "nine hundred thirty million, eight hundred sixty-four thousand, four hundred eighty".