404138000 has 80 divisors (see below), whose sum is σ = 1116845184. Its totient is φ = 138556800.

The previous prime is 404137973. The next prime is 404138017. The reversal of 404138000 is 831404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434 + ... + 28433.

Almost surely, 2^404138000 is an apocalyptic number.

404138000 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 404138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558422592).

404138000 is an abundant number, since it is smaller than the sum of its proper divisors (712707184).

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

404138000 is a wasteful number, since it uses less digits than its factorization.

404138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28897 (or 28881 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 404138000 is about 20103.1838274439. The cubic root of 404138000 is about 739.3383420947.

Adding to 404138000 its reverse (831404), we get a palindrome (404969404).

The spelling of 404138000 in words is "four hundred four million, one hundred thirty-eight thousand".