993450744 has 320 divisors, whose sum is σ = 3337044480. Its totient is φ = 272160000.

The previous prime is 993450727. The next prime is 993450749. The reversal of 993450744 is 447054399.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 993450744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993450749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6579069 + ... + 6579219.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 2^993450744 is an apocalyptic number.

993450744 is the 16848-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993450744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668522240).

993450744 is an abundant number, since it is smaller than the sum of its proper divisors (2343593736).

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

993450744 is a wasteful number, since it uses less digits than its factorization.

993450744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 993450744 is about 31519.0536659970. The cubic root of 993450744 is about 997.8121313885.

The spelling of 993450744 in words is "nine hundred ninety-three million, four hundred fifty thousand, seven hundred forty-four".