930263040 has 468 divisors, whose sum is σ = 3787387344. Its totient is φ = 210567168.

The previous prime is 930263027. The next prime is 930263053. The reversal of 930263040 is 40362039.

It is an interprime number because it is at equal distance from previous prime (930263027) and next prime (930263053).

It is a junction number, because it is equal to n+sod(n) for n = 930262995 and 930263013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031629 + ... + 9031731.

It is an arithmetic number, because the mean of its divisors is an integer number (8092708).

Almost surely, 2^930263040 is an apocalyptic number.

930263040 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 930263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893693672).

930263040 is an abundant number, since it is smaller than the sum of its proper divisors (2857124304).

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

930263040 is a wasteful number, since it uses less digits than its factorization.

930263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 930263040 is about 30500.2137697427. The cubic root of 930263040 is about 976.1920252826.

The spelling of 930263040 in words is "nine hundred thirty million, two hundred sixty-three thousand, forty".