401856 has 112 divisors (see below), whose sum is σ = 1365504. Its totient is φ = 101376.

The previous prime is 401839. The next prime is 401861. The reversal of 401856 is 658104.

401856 is a nontrivial binomial coefficient, being equal to C(897, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×401856² = 322976489472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17461 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (12192).

2⁴⁰¹⁸⁵⁶ is an apocalyptic number.

401856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

401856 is the 896-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682752).

401856 is an abundant number, since it is smaller than the sum of its proper divisors (963648).

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

401856 is a wasteful number, since it uses less digits than its factorization.

401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 401856 is about 633.9211307410. The cubic root of 401856 is about 73.7944135430.

The spelling of 401856 in words is "four hundred one thousand, eight hundred fifty-six".