816465600 has 378 divisors, whose sum is σ = 3049363980. Its totient is φ = 207129600.

The previous prime is 816465593. The next prime is 816465649. The reversal of 816465600 is 6564618.

816465600 is a `hidden beast` number, since 8 + 1 + 6 + 46 + 5 + 600 = 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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13838371 + ... + 13838429.

Almost surely, 2^816465600 is an apocalyptic number.

816465600 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 816465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524681990).

816465600 is an abundant number, since it is smaller than the sum of its proper divisors (2232898380).

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

816465600 is a wasteful number, since it uses less digits than its factorization.

816465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 816465600 is about 28573.8621820712. The cubic root of 816465600 is about 934.6434435981.

The spelling of 816465600 in words is "eight hundred sixteen million, four hundred sixty-five thousand, six hundred".