4006404 has 36 divisors (see below), whose sum is σ = 10230220. Its totient is φ = 1321920.

The previous prime is 4006403. The next prime is 4006411. The reversal of 4006404 is 4046004.

It can be written as a sum of positive squares in 2 ways, for example, as 2566404 + 1440000 = 1602^2 + 1200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4006404² = 32102546022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4006403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3414 + ... + 4434.

Almost surely, 2^4006404 is an apocalyptic number.

It is an amenable number.

4006404 is an abundant number, since it is smaller than the sum of its proper divisors (6223816).

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

4006404 is a wasteful number, since it uses less digits than its factorization.

4006404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4006404 is about 2001.6003597122. The cubic root of 4006404 is about 158.8247743306.

The spelling of 4006404 in words is "four million, six thousand, four hundred four".