8493465600 has 345 divisors, whose sum is σ = 31465664857. Its totient is φ = 2264924160.

The previous prime is 8493465587. The next prime is 8493465623. The reversal of 8493465600 is 65643948.

The square root of 8493465600 is 92160.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (2!)¹⁴.

8493465600 is a `hidden beast` number, since 8 + 4 + 9 + 34 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3057647616 + 5435817984 = 55296^2 + 73728^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1698693118 + ... + 1698693122.

Almost surely, 2^8493465600 is an apocalyptic number.

8493465600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8493465600 is the 92160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8493465600

8493465600 is an abundant number, since it is smaller than the sum of its proper divisors (22972199257).

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

8493465600 is an frugal number, since it uses more digits than its factorization.

8493465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The cubic root of 8493465600 is about 2040.3044528306.

The spelling of 8493465600 in words is "eight billion, four hundred ninety-three million, four hundred sixty-five thousand, six hundred".