801408 has 32 divisors (see below), whose sum is σ = 2129760. Its totient is φ = 267008.

The previous prime is 801407. The next prime is 801419. The reversal of 801408 is 804108.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (801403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (66555).

2⁸⁰¹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

801408 is an abundant number, since it is smaller than the sum of its proper divisors (1328352).

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

801408 is a wasteful number, since it uses less digits than its factorization.

801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 801408 is about 895.2139409102. The cubic root of 801408 is about 92.8862060618.

The spelling of 801408 in words is "eight hundred one thousand, four hundred eight".