401680 has 20 divisors (see below), whose sum is σ = 934092. Its totient is φ = 160640.
The previous prime is 401671. The next prime is 401689. The reversal of 401680 is 86104.
It is an interprime number because it is at equal distance from previous prime (401671) and next prime (401689).
It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 135424 = 516^2 + 368^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a super-2 number, since 2×4016802 = 322693644800, which contains 22 as substring.
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401689) by changing a digit.
401680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2431 + ... + 2590.
2401680 is an apocalyptic number.
401680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
401680 is an abundant number, since it is smaller than the sum of its proper divisors (532412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401680 is a wasteful number, since it uses less digits than its factorization.
401680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5034 (or 5028 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 19.
The square root of 401680 is about 633.7822970074. The cubic root of 401680 is about 73.7836387768.
Adding to 401680 its reverse (86104), we get a palindrome (487784).
It can be divided in two parts, 4016 and 80, that added together give a 12-th power (4096 = 212).
The spelling of 401680 in words is "four hundred one thousand, six hundred eighty".
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