404675838 has 120 divisors (see below), whose sum is σ = 1066470768. Its totient is φ = 112347648.

The previous prime is 404675833. The next prime is 404675839. The reversal of 404675838 is 838576404.

404675838 is a `hidden beast` number, since 4 + 0 + 4 + 67 + 583 + 8 = 666.

It is a super-2 number, since 2×404675838² = 327525067722004488, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404675793 and 404675802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404675833) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2096670 + ... + 2096862.

Almost surely, 2^404675838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404675838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533235384).

404675838 is an abundant number, since it is smaller than the sum of its proper divisors (661794930).

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

404675838 is a wasteful number, since it uses less digits than its factorization.

404675838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 404675838 is about 20116.5563156322. The cubic root of 404675838 is about 739.6661739961. Note that the first 3 decimals are identical.

The spelling of 404675838 in words is "four hundred four million, six hundred seventy-five thousand, eight hundred thirty-eight".