816446040 has 128 divisors (see below), whose sum is σ = 2517350400. Its totient is φ = 211760640.

The previous prime is 816446011. The next prime is 816446051. The reversal of 816446040 is 40644618.

816446040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 816445992 and 816446010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672474 + ... + 673686.

It is an arithmetic number, because the mean of its divisors is an integer number (19666800).

Almost surely, 2^816446040 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 816446040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258675200).

816446040 is an abundant number, since it is smaller than the sum of its proper divisors (1700904360).

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

816446040 is a wasteful number, since it uses less digits than its factorization.

816446040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 816446040 is about 28573.5199091746. The cubic root of 816446040 is about 934.6359798129.

The spelling of 816446040 in words is "eight hundred sixteen million, four hundred forty-six thousand, forty".