993821400 has 648 divisors, whose sum is σ = 4119619140. Its totient is φ = 222393600.

The previous prime is 993821399. The next prime is 993821401. The reversal of 993821400 is 4128399.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

993821400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (993821399) and next prime (993821401).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993821401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 76447794 + ... + 76447806.

Almost surely, 2^993821400 is an apocalyptic number.

993821400 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 993821400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059809570).

993821400 is an abundant number, since it is smaller than the sum of its proper divisors (3125797740).

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

993821400 is a wasteful number, since it uses less digits than its factorization.

993821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 993821400 is about 31524.9329896195. The cubic root of 993821400 is about 997.9362103691.

Adding to 993821400 its reverse (4128399), we get a palindrome (997949799).

The spelling of 993821400 in words is "nine hundred ninety-three million, eight hundred twenty-one thousand, four hundred".