8492182400 has 288 divisors, whose sum is σ = 23331006720. Its totient is φ = 3051110400.

The previous prime is 8492182399. The next prime is 8492182403. The reversal of 8492182400 is 42812948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8492182403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22172609 + ... + 22172991.

It is an arithmetic number, because the mean of its divisors is an integer number (81010440).

Almost surely, 2^8492182400 is an apocalyptic number.

8492182400 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 8492182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665503360).

8492182400 is an abundant number, since it is smaller than the sum of its proper divisors (14838824320).

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

8492182400 is a wasteful number, since it uses less digits than its factorization.

8492182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 8492182400 is about 92153.0379314757. The cubic root of 8492182400 is about 2040.2016973455.

The spelling of 8492182400 in words is "eight billion, four hundred ninety-two million, one hundred eighty-two thousand, four hundred".