404135424 has 480 divisors, whose sum is σ = 1562685696. Its totient is φ = 97320960.

The previous prime is 404135399. The next prime is 404135447. The reversal of 404135424 is 424531404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6031839 + ... + 6031905.

Almost surely, 2^404135424 is an apocalyptic number.

404135424 is a gapful number since it is divisible by the number (44) 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 404135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781342848).

404135424 is an abundant number, since it is smaller than the sum of its proper divisors (1158550272).

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

404135424 is a wasteful number, since it uses less digits than its factorization.

404135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404135424 is about 20103.1197578883. The cubic root of 404135424 is about 739.3367712290.

Adding to 404135424 its reverse (424531404), we get a palindrome (828666828).

The spelling of 404135424 in words is "four hundred four million, one hundred thirty-five thousand, four hundred twenty-four".