8005408 has 12 divisors (see below), whose sum is σ = 15760710. Its totient is φ = 4002688.

The previous prime is 8005397. The next prime is 8005411. The reversal of 8005408 is 8045008.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 3794704 = 2052^2 + 1948^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125053 + ... + 125116.

Almost surely, 2^8005408 is an apocalyptic number.

It is an amenable number.

8005408 is a deficient number, since it is larger than the sum of its proper divisors (7755302).

8005408 is a wasteful number, since it uses less digits than its factorization.

8005408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250179 (or 250171 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8005408 is about 2829.3829716035. The cubic root of 8005408 is about 200.0450565155.

It can be divided in two parts, 800 and 5408, that multiplied together give a square (4326400 = 2080²).

The spelling of 8005408 in words is "eight million, five thousand, four hundred eight".