404265168 has 200 divisors, whose sum is σ = 1263936960. Its totient is φ = 124277760.

The previous prime is 404265163. The next prime is 404265179. The reversal of 404265168 is 861562404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404265163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1299733 + ... + 1300043.

Almost surely, 2^404265168 is an apocalyptic number.

404265168 is a gapful number since it is divisible by the number (48) 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 404265168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631968480).

404265168 is an abundant number, since it is smaller than the sum of its proper divisors (859671792).

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

404265168 is a wasteful number, since it uses less digits than its factorization.

404265168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 404265168 is about 20106.3464607571. The cubic root of 404265168 is about 739.4158818777.

The spelling of 404265168 in words is "four hundred four million, two hundred sixty-five thousand, one hundred sixty-eight".