404340000 has 240 divisors, whose sum is σ = 1388705472. Its totient is φ = 102784000.

The previous prime is 404339927. The next prime is 404340017. The reversal of 404340000 is 43404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1379854 + ... + 1380146.

Almost surely, 2^404340000 is an apocalyptic number.

404340000 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 404340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694352736).

404340000 is an abundant number, since it is smaller than the sum of its proper divisors (984365472).

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

404340000 is a wasteful number, since it uses less digits than its factorization.

404340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 404340000 is about 20108.2072796160. The cubic root of 404340000 is about 739.4615025576.

Adding to 404340000 its reverse (43404), we get a palindrome (404383404).

The spelling of 404340000 in words is "four hundred four million, three hundred forty thousand".