404546560 has 132 divisors (see below), whose sum is σ = 1068312924. Its totient is φ = 146882560.

The previous prime is 404546543. The next prime is 404546581. The reversal of 404546560 is 65645404.

It can be written as a sum of positive squares in 2 ways, for example, as 119071744 + 285474816 = 10912^2 + 16896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619194 + ... + 619846.

Almost surely, 2^404546560 is an apocalyptic number.

404546560 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 404546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534156462).

404546560 is an abundant number, since it is smaller than the sum of its proper divisors (663766364).

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

404546560 is a wasteful number, since it uses less digits than its factorization.

404546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 404546560 is about 20113.3428350436. The cubic root of 404546560 is about 739.5874008655.

It can be divided in two parts, 4045 and 46560, that added together give a palindrome (50605).

The spelling of 404546560 in words is "four hundred four million, five hundred forty-six thousand, five hundred sixty".