404244000 has 384 divisors, whose sum is σ = 1556755200. Its totient is φ = 101606400.

The previous prime is 404243993. The next prime is 404244013. The reversal of 404244000 is 442404.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2051902 + ... + 2052098.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^404244000 is an apocalyptic number.

404244000 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 404244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

404244000 is an abundant number, since it is smaller than the sum of its proper divisors (1152511200).

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

404244000 is a wasteful number, since it uses less digits than its factorization.

404244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 404244000 is about 20105.8200529101. The cubic root of 404244000 is about 739.4029759685.

Adding to 404244000 its reverse (442404), we get a palindrome (404686404).

The spelling of 404244000 in words is "four hundred four million, two hundred forty-four thousand".