404496 has 45 divisors (see below), whose sum is σ = 1153789. Its totient is φ = 132288.

The previous prime is 404489. The next prime is 404497. The reversal of 404496 is 694404.

The square root of 404496 is 636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 112896 = 540^2 + 336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404497) by changing a digit.

404496 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 8 ways as a sum of consecutive naturals, for example, 7606 + ... + 7658.

2⁴⁰⁴⁴⁹⁶ is an apocalyptic number.

404496 is the 636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404496

404496 is an abundant number, since it is smaller than the sum of its proper divisors (749293).

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

404496 is a wasteful number, since it uses less digits than its factorization.

404496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 404496 is about 73.9556588510.

It can be divided in two parts, 404 and 496, that added together give a square (900 = 30²).

The spelling of 404496 in words is "four hundred four thousand, four hundred ninety-six".