404352072 has 96 divisors (see below), whose sum is σ = 1220637600. Its totient is φ = 120172032.

The previous prime is 404352049. The next prime is 404352073. The reversal of 404352072 is 270253404.

It is not an unprimeable number, because it can be changed into a prime (404352073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14563 + ... + 31949.

It is an arithmetic number, because the mean of its divisors is an integer number (12714975).

Almost surely, 2^404352072 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 404352072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610318800).

404352072 is an abundant number, since it is smaller than the sum of its proper divisors (816285528).

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

404352072 is a wasteful number, since it uses less digits than its factorization.

404352072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17435 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 404352072 is about 20108.5074533144. The cubic root of 404352072 is about 739.4688616205.

The spelling of 404352072 in words is "four hundred four million, three hundred fifty-two thousand, seventy-two".