401760 has 120 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 103680.

The previous prime is 401743. The next prime is 401771. The reversal of 401760 is 67104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×401760² = 322822195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12945 + ... + 12975.

2⁴⁰¹⁷⁶⁰ is an apocalyptic number.

401760 is a gapful number since it is divisible by the number (40) 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 401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808).

401760 is an abundant number, since it is smaller than the sum of its proper divisors (1061856).

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

401760 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 401760 = (174600)₁₂.

401760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401760 is about 633.8454070197. The cubic root of 401760 is about 73.7885367878.

Adding to 401760 its reverse (67104), we get a palindrome (468864).

The spelling of 401760 in words is "four hundred one thousand, seven hundred sixty".