404810560 has 168 divisors, whose sum is σ = 1223796384. Its totient is φ = 126120960.

The previous prime is 404810551. The next prime is 404810563. The reversal of 404810560 is 65018404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404810563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171307 + ... + 173653.

Almost surely, 2^404810560 is an apocalyptic number.

404810560 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 404810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611898192).

404810560 is an abundant number, since it is smaller than the sum of its proper divisors (818985824).

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

404810560 is a wasteful number, since it uses less digits than its factorization.

404810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 404810560 is about 20119.9045723383. The cubic root of 404810560 is about 739.7482464772.

Adding to 404810560 its product of nonzero digits (3840), we get a square (404814400 = 20120²).

Adding to 404810560 its reverse (65018404), we get a palindrome (469828964).

The spelling of 404810560 in words is "four hundred four million, eight hundred ten thousand, five hundred sixty".