816846464 has 192 divisors, whose sum is σ = 2059551360. Its totient is φ = 320495616.

The previous prime is 816846463. The next prime is 816846469. The reversal of 816846464 is 464648618.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (816846463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5011247 + ... + 5011409.

It is an arithmetic number, because the mean of its divisors is an integer number (10726830).

Almost surely, 2^816846464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029775680).

816846464 is an abundant number, since it is smaller than the sum of its proper divisors (1242704896).

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

816846464 is a wasteful number, since it uses less digits than its factorization.

816846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 816846464 is about 28580.5259573717. The cubic root of 816846464 is about 934.7887514975.

The spelling of 816846464 in words is "eight hundred sixteen million, eight hundred forty-six thousand, four hundred sixty-four".