404167712 has 48 divisors (see below), whose sum is σ = 868717080. Its totient is φ = 183969792.

The previous prime is 404167691. The next prime is 404167717. The reversal of 404167712 is 217761404.

It can be written as a sum of positive squares in 4 ways, for example, as 154654096 + 249513616 = 12436^2 + 15796^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (404167717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23714 + ... + 37022.

Almost surely, 2^404167712 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 404167712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434358540).

404167712 is an abundant number, since it is smaller than the sum of its proper divisors (464549368).

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

404167712 is a wasteful number, since it uses less digits than its factorization.

404167712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 404167712 is about 20103.9228012843. The cubic root of 404167712 is about 739.3564602314.

The spelling of 404167712 in words is "four hundred four million, one hundred sixty-seven thousand, seven hundred twelve".