401914656 has 192 divisors, whose sum is σ = 1377613440. Its totient is φ = 112389120.

The previous prime is 401914651. The next prime is 401914687. The reversal of 401914656 is 656419104.

401914656 is a `hidden beast` number, since 4 + 0 + 191 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 401914656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401914651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121926 + ... + 125178.

It is an arithmetic number, because the mean of its divisors is an integer number (7175070).

Almost surely, 2^401914656 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 401914656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688806720).

401914656 is an abundant number, since it is smaller than the sum of its proper divisors (975698784).

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

401914656 is a wasteful number, since it uses less digits than its factorization.

401914656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 401914656 is about 20047.8092568739. The cubic root of 401914656 is about 737.9800377970.

The spelling of 401914656 in words is "four hundred one million, nine hundred fourteen thousand, six hundred fifty-six".