808972416 has 192 divisors, whose sum is σ = 2723497920. Its totient is φ = 225662976.

The previous prime is 808972397. The next prime is 808972433. The reversal of 808972416 is 614279808.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345586 + ... + 347918.

It is an arithmetic number, because the mean of its divisors is an integer number (14184885).

Almost surely, 2^808972416 is an apocalyptic number.

808972416 is a gapful number since it is divisible by the number (86) 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 808972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361748960).

808972416 is an abundant number, since it is smaller than the sum of its proper divisors (1914525504).

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

808972416 is a wasteful number, since it uses less digits than its factorization.

808972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 808972416 is about 28442.4404016252. The cubic root of 808972416 is about 931.7753945550.

The spelling of 808972416 in words is "eight hundred eight million, nine hundred seventy-two thousand, four hundred sixteen".