816874464 has 48 divisors (see below), whose sum is σ = 2450625408. Its totient is φ = 233392512.

The previous prime is 816874427. The next prime is 816874469. The reversal of 816874464 is 464478618.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816874469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 607122 + ... + 608465.

It is an arithmetic number, because the mean of its divisors is an integer number (51054696).

Almost surely, 2^816874464 is an apocalyptic number.

816874464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

816874464 is an abundant number, since it is smaller than the sum of its proper divisors (1633750944).

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

816874464 is a wasteful number, since it uses less digits than its factorization.

816874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215607 (or 1215599 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 816874464 is about 28581.0157972036. The cubic root of 816874464 is about 934.7994323240.

The spelling of 816874464 in words is "eight hundred sixteen million, eight hundred seventy-four thousand, four hundred sixty-four".