803408 has 20 divisors (see below), whose sum is σ = 1571700. Its totient is φ = 397824.

The previous prime is 803399. The next prime is 803417. The reversal of 803408 is 804308.

It is an interprime number because it is at equal distance from previous prime (803399) and next prime (803417).

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 652864 = 388^2 + 808^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

803408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2216 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (78585).

2⁸⁰³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

803408 is a deficient number, since it is larger than the sum of its proper divisors (768292).

803408 is a wasteful number, since it uses less digits than its factorization.

803408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 803408 is about 896.3302962636. The cubic root of 803408 is about 92.9634110509.

Subtracting 803408 from its reverse (804308), we obtain a square (900 = 30²).

The spelling of 803408 in words is "eight hundred three thousand, four hundred eight".