8493458400 has 864 divisors, whose sum is σ = 37905573888. Its totient is φ = 1743667200.

The previous prime is 8493458387. The next prime is 8493458401. The reversal of 8493458400 is 48543948.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8493458401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19706185 + ... + 19706615.

It is an arithmetic number, because the mean of its divisors is an integer number (43872192).

Almost surely, 2^8493458400 is an apocalyptic number.

8493458400 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 8493458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952786944).

8493458400 is an abundant number, since it is smaller than the sum of its proper divisors (29412115488).

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

8493458400 is a wasteful number, since it uses less digits than its factorization.

8493458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8493458400 is about 92159.9609374917. The cubic root of 8493458400 is about 2040.3038763013.

The spelling of 8493458400 in words is "eight billion, four hundred ninety-three million, four hundred fifty-eight thousand, four hundred".