930948480 has 384 divisors, whose sum is σ = 4009824000. Its totient is φ = 193351680.

The previous prime is 930948463. The next prime is 930948493. The reversal of 930948480 is 84849039.

It is a happy number.

930948480 is a `hidden beast` number, since 93 + 0 + 9 + 484 + 80 = 666.

930948480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 442471 + ... + 444569.

It is an arithmetic number, because the mean of its divisors is an integer number (10442250).

Almost surely, 2^930948480 is an apocalyptic number.

930948480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

930948480 is an abundant number, since it is smaller than the sum of its proper divisors (3078875520).

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

930948480 is a wasteful number, since it uses less digits than its factorization.

930948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 930948480 is about 30511.4483432039. The cubic root of 930948480 is about 976.4317269436.

The spelling of 930948480 in words is "nine hundred thirty million, nine hundred forty-eight thousand, four hundred eighty".