401267256 has 64 divisors (see below), whose sum is σ = 1082743200. Its totient is φ = 123191808.

The previous prime is 401267239. The next prime is 401267263. The reversal of 401267256 is 652762104.

It is a super-3 number, since 3×401267256³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 172630 + ... + 174938.

Almost surely, 2^401267256 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 401267256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541371600).

401267256 is an abundant number, since it is smaller than the sum of its proper divisors (681475944).

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

401267256 is a wasteful number, since it uses less digits than its factorization.

401267256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 401267256 is about 20031.6563468925. The cubic root of 401267256 is about 737.5835812963.

The spelling of 401267256 in words is "four hundred one million, two hundred sixty-seven thousand, two hundred fifty-six".