404415000 has 480 divisors, whose sum is σ = 1608235200. Its totient is φ = 90720000.

The previous prime is 404414971. The next prime is 404415001. The reversal of 404415000 is 514404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404415001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9404979 + ... + 9405021.

It is an arithmetic number, because the mean of its divisors is an integer number (3350490).

Almost surely, 2^404415000 is an apocalyptic number.

404415000 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 404415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804117600).

404415000 is an abundant number, since it is smaller than the sum of its proper divisors (1203820200).

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

404415000 is a wasteful number, since it uses less digits than its factorization.

404415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 404415000 is about 20110.0721033019. The cubic root of 404415000 is about 739.5072200100.

Adding to 404415000 its reverse (514404), we get a palindrome (404929404).

It can be divided in two parts, 4044 and 15000, that added together give a square (19044 = 138²).

The spelling of 404415000 in words is "four hundred four million, four hundred fifteen thousand".