993245450400 has 864 divisors, whose sum is σ = 4191919699968. Its totient is φ = 216371865600.

The previous prime is 993245450383. The next prime is 993245450419. The reversal of 993245450400 is 4054542399.

993245450400 is a `hidden beast` number, since 9 + 93 + 2 + 4 + 54 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355873005 + ... + 355875795.

It is an arithmetic number, because the mean of its divisors is an integer number (4851758912).

Almost surely, 2^993245450400 is an apocalyptic number.

993245450400 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 993245450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095959849984).

993245450400 is an abundant number, since it is smaller than the sum of its proper divisors (3198674249568).

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

993245450400 is a wasteful number, since it uses less digits than its factorization.

993245450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 993245450400 its reverse (4054542399), we get a palindrome (997299992799).

The spelling of 993245450400 in words is "nine hundred ninety-three billion, two hundred forty-five million, four hundred fifty thousand, four hundred".