808261464 has 64 divisors (see below), whose sum is σ = 2145571200. Its totient is φ = 252854784.

The previous prime is 808261457. The next prime is 808261471. The reversal of 808261464 is 464162808.

808261464 = 2222² + 2223² + ... + 2374².

It is an interprime number because it is at equal distance from previous prime (808261457) and next prime (808261471).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152019 + ... + 157245.

It is an arithmetic number, because the mean of its divisors is an integer number (33524550).

Almost surely, 2^808261464 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 808261464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072785600).

808261464 is an abundant number, since it is smaller than the sum of its proper divisors (1337309736).

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

808261464 is a wasteful number, since it uses less digits than its factorization.

808261464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 808261464 is about 28429.9395708116. The cubic root of 808261464 is about 931.5023561001.

The spelling of 808261464 in words is "eight hundred eight million, two hundred sixty-one thousand, four hundred sixty-four".