401963856 has 240 divisors, whose sum is σ = 1289203200. Its totient is φ = 107412480.

The previous prime is 401963851. The next prime is 401963869. The reversal of 401963856 is 658369104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401963851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697670 + ... + 2697818.

It is an arithmetic number, because the mean of its divisors is an integer number (5371680).

Almost surely, 2^401963856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401963856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644601600).

401963856 is an abundant number, since it is smaller than the sum of its proper divisors (887239344).

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

401963856 is a wasteful number, since it uses less digits than its factorization.

401963856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 401963856 is about 20049.0362860662. The cubic root of 401963856 is about 738.0101496096.

The spelling of 401963856 in words is "four hundred one million, nine hundred sixty-three thousand, eight hundred fifty-six".