404044400 has 60 divisors (see below), whose sum is σ = 976829592. Its totient is φ = 160600320.

The previous prime is 404044393. The next prime is 404044409. The reversal of 404044400 is 4440404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404044409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62102 + ... + 68298.

Almost surely, 2^404044400 is an apocalyptic number.

404044400 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 404044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488414796).

404044400 is an abundant number, since it is smaller than the sum of its proper divisors (572785192).

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

404044400 is a wasteful number, since it uses less digits than its factorization.

404044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 404044400 is about 20100.8557031784. The cubic root of 404044400 is about 739.2812597681.

Adding to 404044400 its reverse (4440404), we get a palindrome (408484804).

The spelling of 404044400 in words is "four hundred four million, forty-four thousand, four hundred".