404016525 has 48 divisors (see below), whose sum is σ = 809680320. Its totient is φ = 195883200.

The previous prime is 404016523. The next prime is 404016541. The reversal of 404016525 is 525610404.

404016525 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 652 + 5 = 666.

It is not a de Polignac number, because 404016525 - 2¹ = 404016523 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404016523) 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 47 ways as a sum of consecutive naturals, for example, 19782 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (16868340).

Almost surely, 2^404016525 is an apocalyptic number.

404016525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404016525 is an abundant number, since it is smaller than the sum of its proper divisors (405663795).

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

404016525 is a wasteful number, since it uses less digits than its factorization.

404016525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54443 (or 54432 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 404016525 is about 20100.1623127775. The cubic root of 404016525 is about 739.2642583865.

Adding to 404016525 its reverse (525610404), we get a palindrome (929626929).

The spelling of 404016525 in words is "four hundred four million, sixteen thousand, five hundred twenty-five".