404560 has 40 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 148992.

The previous prime is 404557. The next prime is 404597. The reversal of 404560 is 65404.

404560 = T₁₄₉ + T₁₅₀ + ... + T₁₇₈.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 404496 = 8^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 846 + ... + 1234.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁴⁰⁴⁵⁶⁰ is an apocalyptic number.

404560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

404560 is an abundant number, since it is smaller than the sum of its proper divisors (611000).

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

404560 is a wasteful number, since it uses less digits than its factorization.

404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 404560 is about 636.0503124754. The cubic root of 404560 is about 73.9595591060.

Adding to 404560 its reverse (65404), we get a palindrome (469964).

The spelling of 404560 in words is "four hundred four thousand, five hundred sixty".