404527968 has 144 divisors (see below), whose sum is σ = 1252087200. Its totient is φ = 123144192.

The previous prime is 404527957. The next prime is 404527987. The reversal of 404527968 is 869725404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385108 + ... + 386156.

It is an arithmetic number, because the mean of its divisors is an integer number (8695050).

Almost surely, 2^404527968 is an apocalyptic number.

404527968 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 404527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626043600).

404527968 is an abundant number, since it is smaller than the sum of its proper divisors (847559232).

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

404527968 is a wasteful number, since it uses less digits than its factorization.

404527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 404527968 is about 20112.8806489772. The cubic root of 404527968 is about 739.5760707979.

The spelling of 404527968 in words is "four hundred four million, five hundred twenty-seven thousand, nine hundred sixty-eight".