930224880 has 480 divisors, whose sum is σ = 3656016000. Its totient is φ = 210051072.

The previous prime is 930224879. The next prime is 930224899. The reversal of 930224880 is 88422039.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6243046 + ... + 6243194.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^930224880 is an apocalyptic number.

930224880 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 930224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

930224880 is an abundant number, since it is smaller than the sum of its proper divisors (2725791120).

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

930224880 is a wasteful number, since it uses less digits than its factorization.

930224880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 930224880 is about 30499.5881939412. The cubic root of 930224880 is about 976.1786770877.

The spelling of 930224880 in words is "nine hundred thirty million, two hundred twenty-four thousand, eight hundred eighty".