404384640 has 256 divisors, whose sum is σ = 1443536640. Its totient is φ = 95436800.

The previous prime is 404384639. The next prime is 404384641. The reversal of 404384640 is 46483404.

It is an interprime number because it is at equal distance from previous prime (404384639) and next prime (404384641).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404384641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865687 + ... + 866153.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^404384640 is an apocalyptic number.

404384640 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 404384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

404384640 is an abundant number, since it is smaller than the sum of its proper divisors (1039152000).

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

404384640 is a wasteful number, since it uses less digits than its factorization.

404384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 404384640 is about 20109.3172435068. The cubic root of 404384640 is about 739.4887142662.

The spelling of 404384640 in words is "four hundred four million, three hundred eighty-four thousand, six hundred forty".