930489120 has 480 divisors, whose sum is σ = 3675139776. Its totient is φ = 219801600.

The previous prime is 930489103. The next prime is 930489139. The reversal of 930489120 is 21984039.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8696107 + ... + 8696213.

Almost surely, 2^930489120 is an apocalyptic number.

930489120 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 930489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837569888).

930489120 is an abundant number, since it is smaller than the sum of its proper divisors (2744650656).

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

930489120 is a wasteful number, since it uses less digits than its factorization.

930489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 930489120 is about 30503.9197481242. The cubic root of 930489120 is about 976.2710995542.

The spelling of 930489120 in words is "nine hundred thirty million, four hundred eighty-nine thousand, one hundred twenty".