930040440 has 256 divisors, whose sum is σ = 3350246400. Its totient is φ = 202051584.

The previous prime is 930040409. The next prime is 930040493. The reversal of 930040440 is 44040039.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 930040440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778019 + ... + 1778541.

It is an arithmetic number, because the mean of its divisors is an integer number (13086900).

Almost surely, 2^930040440 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 930040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675123200).

930040440 is an abundant number, since it is smaller than the sum of its proper divisors (2420205960).

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

930040440 is a wasteful number, since it uses less digits than its factorization.

930040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 930040440 is about 30496.5643966661. The cubic root of 930040440 is about 976.1141556657.

Adding to 930040440 its reverse (44040039), we get a palindrome (974080479).

The spelling of 930040440 in words is "nine hundred thirty million, forty thousand, four hundred forty".