930153280 has 168 divisors, whose sum is σ = 2601349128. Its totient is φ = 315850752.

The previous prime is 930153277. The next prime is 930153299. The reversal of 930153280 is 82351039.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 911073856 = 4368^2 + 30184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2147944 + ... + 2148376.

It is an arithmetic number, because the mean of its divisors is an integer number (15484221).

Almost surely, 2^930153280 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 930153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300674564).

930153280 is an abundant number, since it is smaller than the sum of its proper divisors (1671195848).

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

930153280 is a wasteful number, since it uses less digits than its factorization.

930153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 930153280 is about 30498.4143850135. The cubic root of 930153280 is about 976.1536307474.

The spelling of 930153280 in words is "nine hundred thirty million, one hundred fifty-three thousand, two hundred eighty".