8993462400 has 960 divisors, whose sum is σ = 38084203080. Its totient is φ = 2070282240.

The previous prime is 8993462389. The next prime is 8993462411. The reversal of 8993462400 is 42643998.

It is an interprime number because it is at equal distance from previous prime (8993462389) and next prime (8993462411).

It can be written as a sum of positive squares in 12 ways, for example, as 83612736 + 8909849664 = 9144^2 + 94392^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57283122 + ... + 57283278.

Almost surely, 2^8993462400 is an apocalyptic number.

8993462400 is a gapful number since it is divisible by the number (80) 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 8993462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042101540).

8993462400 is an abundant number, since it is smaller than the sum of its proper divisors (29090740680).

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

8993462400 is a wasteful number, since it uses less digits than its factorization.

8993462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8993462400 is about 94833.8673681507. The cubic root of 8993462400 is about 2079.5800434207.

The spelling of 8993462400 in words is "eight billion, nine hundred ninety-three million, four hundred sixty-two thousand, four hundred".