818474400 has 432 divisors, whose sum is σ = 3152298240. Its totient is φ = 199065600.

The previous prime is 818474399. The next prime is 818474411. The reversal of 818474400 is 4474818.

It is a happy number.

818474400 is a `hidden beast` number, since 8 + 184 + 74 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4240704 + ... + 4240896.

Almost surely, 2^818474400 is an apocalyptic number.

818474400 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 818474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576149120).

818474400 is an abundant number, since it is smaller than the sum of its proper divisors (2333823840).

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

818474400 is a wasteful number, since it uses less digits than its factorization.

818474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 818474400 is about 28608.9915935532. The cubic root of 818474400 is about 935.4093358641.

The spelling of 818474400 in words is "eight hundred eighteen million, four hundred seventy-four thousand, four hundred".