404973168 has 80 divisors (see below), whose sum is σ = 1100822400. Its totient is φ = 128101120.

The previous prime is 404973143. The next prime is 404973193. The reversal of 404973168 is 861379404.

It is an interprime number because it is at equal distance from previous prime (404973143) and next prime (404973193).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79663 + ... + 84593.

It is an arithmetic number, because the mean of its divisors is an integer number (13760280).

Almost surely, 2^404973168 is an apocalyptic number.

404973168 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 404973168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550411200).

404973168 is an abundant number, since it is smaller than the sum of its proper divisors (695849232).

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

404973168 is a wasteful number, since it uses less digits than its factorization.

404973168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 404973168 is about 20123.9451400564. The cubic root of 404973168 is about 739.8472828266.

The spelling of 404973168 in words is "four hundred four million, nine hundred seventy-three thousand, one hundred sixty-eight".