401885568 has 384 divisors, whose sum is σ = 1446931200. Its totient is φ = 104509440.

The previous prime is 401885563. The next prime is 401885621. The reversal of 401885568 is 865588104.

401885568 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 85 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401885563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6588258 + ... + 6588318.

It is an arithmetic number, because the mean of its divisors is an integer number (3768050).

Almost surely, 2^401885568 is an apocalyptic number.

401885568 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 401885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723465600).

401885568 is an abundant number, since it is smaller than the sum of its proper divisors (1045045632).

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

401885568 is a wasteful number, since it uses less digits than its factorization.

401885568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 401885568 is about 20047.0837779464. The cubic root of 401885568 is about 737.9622339499.

The spelling of 401885568 in words is "four hundred one million, eight hundred eighty-five thousand, five hundred sixty-eight".