404313525 has 120 divisors (see below), whose sum is σ = 934089024. Its totient is φ = 167961600.

The previous prime is 404313509. The next prime is 404313571. The reversal of 404313525 is 525313404.

It is not a de Polignac number, because 404313525 - 2⁴ = 404313509 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 119 ways as a sum of consecutive naturals, for example, 154629 + ... + 157221.

Almost surely, 2^404313525 is an apocalyptic number.

404313525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404313525 is an abundant number, since it is smaller than the sum of its proper divisors (529775499).

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

404313525 is a wasteful number, since it uses less digits than its factorization.

404313525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 404313525 is about 20107.5489555540. The cubic root of 404313525 is about 739.4453629469.

Adding to 404313525 its reverse (525313404), we get a palindrome (929626929).

It can be divided in two parts, 40431 and 3525, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 404313525 in words is "four hundred four million, three hundred thirteen thousand, five hundred twenty-five".