401990688 has 240 divisors, whose sum is σ = 1347990336. Its totient is φ = 116328960.

The previous prime is 401990669. The next prime is 401990689. The reversal of 401990688 is 886099104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401990689) 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, 655470 + ... + 656082.

Almost surely, 2^401990688 is an apocalyptic number.

401990688 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 401990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673995168).

401990688 is an abundant number, since it is smaller than the sum of its proper divisors (945999648).

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

401990688 is a wasteful number, since it uses less digits than its factorization.

401990688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 401990688 is about 20049.7054342452. The cubic root of 401990688 is about 738.0265705286.

The spelling of 401990688 in words is "four hundred one million, nine hundred ninety thousand, six hundred eighty-eight".