404475916392 has 224 divisors, whose sum is σ = 1175874058080. Its totient is φ = 130300410240.

The previous prime is 404475916379. The next prime is 404475916393. The reversal of 404475916392 is 293619574404.

404475916392 is a `hidden beast` number, since 4 + 0 + 4 + 47 + 591 + 6 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×404475916392² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (404475916393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20699667 + ... + 20719197.

Almost surely, 2^404475916392 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 404475916392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587937029040).

404475916392 is an abundant number, since it is smaller than the sum of its proper divisors (771398141688).

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

404475916392 is a wasteful number, since it uses less digits than its factorization.

404475916392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19675 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 404475916392 in words is "four hundred four billion, four hundred seventy-five million, nine hundred sixteen thousand, three hundred ninety-two".