404213440 has 56 divisors (see below), whose sum is σ = 964582272. Its totient is φ = 161341440.

The previous prime is 404213417. The next prime is 404213449. The reversal of 404213440 is 44312404.

It is not an unprimeable number, because it can be changed into a prime (404213449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193200 + ... + 195280.

Almost surely, 2^404213440 is an apocalyptic number.

404213440 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 404213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482291136).

404213440 is an abundant number, since it is smaller than the sum of its proper divisors (560368832).

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

404213440 is a wasteful number, since it uses less digits than its factorization.

404213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 404213440 is about 20105.0600595969. The cubic root of 404213440 is about 739.3843430601.

Adding to 404213440 its reverse (44312404), we get a palindrome (448525844).

The spelling of 404213440 in words is "four hundred four million, two hundred thirteen thousand, four hundred forty".