930390480 has 240 divisors, whose sum is σ = 3433173120. Its totient is φ = 224750592.

The previous prime is 930390473. The next prime is 930390481. The reversal of 930390480 is 84093039.

930390480 is a `hidden beast` number, since 93 + 0 + 3 + 90 + 480 = 666.

930390480 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930390481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313162 + ... + 316118.

It is an arithmetic number, because the mean of its divisors is an integer number (14304888).

Almost surely, 2^930390480 is an apocalyptic number.

930390480 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 930390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716586560).

930390480 is an abundant number, since it is smaller than the sum of its proper divisors (2502782640).

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

930390480 is a wasteful number, since it uses less digits than its factorization.

930390480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 930390480 is about 30502.3028638823. The cubic root of 930390480 is about 976.2366005714.

The spelling of 930390480 in words is "nine hundred thirty million, three hundred ninety thousand, four hundred eighty".