404115075 has 288 divisors, whose sum is σ = 1000935936. Its totient is φ = 156764160.

The previous prime is 404115067. The next prime is 404115113. The reversal of 404115075 is 570511404.

It is a happy number.

It is not a de Polignac number, because 404115075 - 2³ = 404115067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9398004 + ... + 9398046.

It is an arithmetic number, because the mean of its divisors is an integer number (3475472).

Almost surely, 2^404115075 is an apocalyptic number.

404115075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

404115075 is an abundant number, since it is smaller than the sum of its proper divisors (596820861).

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

404115075 is a wasteful number, since it uses less digits than its factorization.

404115075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 404115075 is about 20102.6136360425. The cubic root of 404115075 is about 739.3243620087.

Adding to 404115075 its reverse (570511404), we get a palindrome (974626479).

The spelling of 404115075 in words is "four hundred four million, one hundred fifteen thousand, seventy-five".