404064192 has 168 divisors, whose sum is σ = 1287383760. Its totient is φ = 111390720.

The previous prime is 404064191. The next prime is 404064229. The reversal of 404064192 is 291460404.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×404064192² = 326535742513225728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404064191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 272092 + ... + 273572.

Almost surely, 2^404064192 is an apocalyptic number.

404064192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643691880).

404064192 is an abundant number, since it is smaller than the sum of its proper divisors (883319568).

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

404064192 is a wasteful number, since it uses less digits than its factorization.

404064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 404064192 is about 20101.3480144989. The cubic root of 404064192 is about 739.2933307317.

The spelling of 404064192 in words is "four hundred four million, sixty-four thousand, one hundred ninety-two".