993953440 has 48 divisors (see below), whose sum is σ = 2354752512. Its totient is φ = 396474624.

The previous prime is 993953419. The next prime is 993953483. The reversal of 993953440 is 44359399.

993953440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50257 + ... + 67183.

It is an arithmetic number, because the mean of its divisors is an integer number (49057344).

Almost surely, 2^993953440 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 993953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177376256).

993953440 is an abundant number, since it is smaller than the sum of its proper divisors (1360799072).

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

993953440 is a wasteful number, since it uses less digits than its factorization.

993953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17309 (or 17301 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The square root of 993953440 is about 31527.0271354595. The cubic root of 993953440 is about 997.9804039777.

The spelling of 993953440 in words is "nine hundred ninety-three million, nine hundred fifty-three thousand, four hundred forty".