993314400 has 432 divisors, whose sum is σ = 3659765760. Its totient is φ = 233625600.

The previous prime is 993314381. The next prime is 993314419. The reversal of 993314400 is 4413399.

It is an interprime number because it is at equal distance from previous prime (993314381) and next prime (993314419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12573561 + ... + 12573639.

It is an arithmetic number, because the mean of its divisors is an integer number (8471680).

Almost surely, 2^993314400 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 993314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829882880).

993314400 is an abundant number, since it is smaller than the sum of its proper divisors (2666451360).

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

993314400 is a wasteful number, since it uses less digits than its factorization.

993314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 993314400 is about 31516.8907095862. The cubic root of 993314400 is about 997.7664817771.

Adding to 993314400 its reverse (4413399), we get a palindrome (997727799).

The spelling of 993314400 in words is "nine hundred ninety-three million, three hundred fourteen thousand, four hundred".