930851040 has 288 divisors, whose sum is σ = 3592149120. Its totient is φ = 201470976.

The previous prime is 930851017. The next prime is 930851071. The reversal of 930851040 is 40158039.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 930850989 and 930851007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445839 + ... + 447921.

It is an arithmetic number, because the mean of its divisors is an integer number (12472740).

Almost surely, 2^930851040 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 930851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796074560).

930851040 is an abundant number, since it is smaller than the sum of its proper divisors (2661298080).

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

930851040 is a wasteful number, since it uses less digits than its factorization.

930851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 930851040 is about 30509.8515237292. The cubic root of 930851040 is about 976.3976588832.

The spelling of 930851040 in words is "nine hundred thirty million, eight hundred fifty-one thousand, forty".