401044680 has 96 divisors (see below), whose sum is σ = 1318145400. Its totient is φ = 105735168.

The previous prime is 401044673. The next prime is 401044729. The reversal of 401044680 is 86440104.

It can be written as a sum of positive squares in 4 ways, for example, as 350663076 + 50381604 = 18726^2 + 7098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25782 + ... + 38298.

Almost surely, 2^401044680 is an apocalyptic number.

401044680 is a gapful number since it is divisible by the number (40) 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 401044680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659072700).

401044680 is an abundant number, since it is smaller than the sum of its proper divisors (917100720).

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

401044680 is a wasteful number, since it uses less digits than its factorization.

401044680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 401044680 is about 20026.0999697894. The cubic root of 401044680 is about 737.4471811258.

Adding to 401044680 its reverse (86440104), we get a palindrome (487484784).

The spelling of 401044680 in words is "four hundred one million, forty-four thousand, six hundred eighty".