930925440 has 256 divisors, whose sum is σ = 3492072000. Its totient is φ = 233570304.

The previous prime is 930925417. The next prime is 930925441. The reversal of 930925440 is 44529039.

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

It is a junction number, because it is equal to n+sod(n) for n = 930925395 and 930925404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930925441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292176 + ... + 295344.

Almost surely, 2^930925440 is an apocalyptic number.

930925440 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 930925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746036000).

930925440 is an abundant number, since it is smaller than the sum of its proper divisors (2561146560).

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

930925440 is a wasteful number, since it uses less digits than its factorization.

930925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 930925440 is about 30511.0707776702. The cubic root of 930925440 is about 976.4236716562.

The spelling of 930925440 in words is "nine hundred thirty million, nine hundred twenty-five thousand, four hundred forty".