404653472 has 48 divisors (see below), whose sum is σ = 827706600. Its totient is φ = 194503680.

The previous prime is 404653451. The next prime is 404653481. The reversal of 404653472 is 274356404.

It can be written as a sum of positive squares in 4 ways, for example, as 311028496 + 93624976 = 17636^2 + 9676^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248822 + ... + 250442.

Almost surely, 2^404653472 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 404653472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413853300).

404653472 is an abundant number, since it is smaller than the sum of its proper divisors (423053128).

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

404653472 is a wasteful number, since it uses less digits than its factorization.

404653472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 404653472 is about 20116.0003976934. Note that the first 3 decimals coincide. The cubic root of 404653472 is about 739.6525468928.

The spelling of 404653472 in words is "four hundred four million, six hundred fifty-three thousand, four hundred seventy-two".