404675712 has 288 divisors, whose sum is σ = 1387685520. Its totient is φ = 112831488.

The previous prime is 404675707. The next prime is 404675743. The reversal of 404675712 is 217576404.

404675712 is a `hidden beast` number, since 40 + 46 + 7 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3781963 + ... + 3782069.

Almost surely, 2^404675712 is an apocalyptic number.

404675712 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 404675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693842760).

404675712 is an abundant number, since it is smaller than the sum of its proper divisors (983009808).

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

404675712 is a wasteful number, since it uses less digits than its factorization.

404675712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 404675712 is about 20116.5531838832. The cubic root of 404675712 is about 739.6660972286. Note that the first 3 decimals are identical.

The spelling of 404675712 in words is "four hundred four million, six hundred seventy-five thousand, seven hundred twelve".