404413152 has 192 divisors, whose sum is σ = 1264999680. Its totient is φ = 111513600.

The previous prime is 404413129. The next prime is 404413159. The reversal of 404413152 is 251314404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404413159) 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 31 ways as a sum of consecutive naturals, for example, 1221627 + ... + 1221957.

It is an arithmetic number, because the mean of its divisors is an integer number (6588540).

Almost surely, 2^404413152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632499840).

404413152 is an abundant number, since it is smaller than the sum of its proper divisors (860586528).

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

404413152 is a wasteful number, since it uses less digits than its factorization.

404413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 404413152 is about 20110.0261561242. The cubic root of 404413152 is about 739.5060935999.

Adding to 404413152 its reverse (251314404), we get a palindrome (655727556).

The spelling of 404413152 in words is "four hundred four million, four hundred thirteen thousand, one hundred fifty-two".