808205472 has 48 divisors (see below), whose sum is σ = 2357268480. Its totient is φ = 269401536.

The previous prime is 808205443. The next prime is 808205477. The reversal of 808205472 is 274502808.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (808205477) 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, 466848 + ... + 468575.

It is an arithmetic number, because the mean of its divisors is an integer number (49109760).

Almost surely, 2^808205472 is an apocalyptic number.

It is an amenable number.

808205472 is an abundant number, since it is smaller than the sum of its proper divisors (1549063008).

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

808205472 is a wasteful number, since it uses less digits than its factorization.

808205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935442 (or 935428 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 808205472 is about 28428.9548172282. The cubic root of 808205472 is about 931.4808457817.

The spelling of 808205472 in words is "eight hundred eight million, two hundred five thousand, four hundred seventy-two".