816474816 has 140 divisors (see below), whose sum is σ = 2504206320. Its totient is φ = 262725120.

The previous prime is 816474811. The next prime is 816474817. The reversal of 816474816 is 618474618.

816474816 is a `hidden beast` number, since 8 + 164 + 7 + 481 + 6 = 666.

It is a super-2 number, since 2×816474816² = 1333262250324467712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (816474811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147621 + ... + 153051.

It is an arithmetic number, because the mean of its divisors is an integer number (17887188).

Almost surely, 2^816474816 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 816474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252103160).

816474816 is an abundant number, since it is smaller than the sum of its proper divisors (1687731504).

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

816474816 is a wasteful number, since it uses less digits than its factorization.

816474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5465 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 816474816 is about 28574.0234478801. The cubic root of 816474816 is about 934.6469602360.

The spelling of 816474816 in words is "eight hundred sixteen million, four hundred seventy-four thousand, eight hundred sixteen".