930580000 has 360 divisors, whose sum is σ = 2900221632. Its totient is φ = 287232000.

The previous prime is 930579961. The next prime is 930580061. The reversal of 930580000 is 85039.

930580000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×930580000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40459989 + ... + 40460011.

Almost surely, 2^930580000 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 930580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450110816).

930580000 is an abundant number, since it is smaller than the sum of its proper divisors (1969641632).

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

930580000 is a wasteful number, since it uses less digits than its factorization.

930580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 930580000 is about 30505.4093563748. The cubic root of 930580000 is about 976.3028823472.

The spelling of 930580000 in words is "nine hundred thirty million, five hundred eighty thousand".