403680 has 72 divisors (see below), whose sum is σ = 1316952. Its totient is φ = 103936.

The previous prime is 403679. The next prime is 403681. The reversal of 403680 is 86304.

403680 = T₂₉₅ + T₂₉₆ + ... + T₃₀₃.

403680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (403679) and next prime (403681).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403680.

It is not an unprimeable number, because it can be changed into a prime (403681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13906 + ... + 13934.

It is an arithmetic number, because the mean of its divisors is an integer number (18291).

2⁴⁰³⁶⁸⁰ is an apocalyptic number.

403680 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 403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658476).

403680 is an abundant number, since it is smaller than the sum of its proper divisors (913272).

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

403680 is a wasteful number, since it uses less digits than its factorization.

403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 403680 is about 635.3581667060. The cubic root of 403680 is about 73.9058944994.

Adding to 403680 its reverse (86304), we get a palindrome (489984).

The spelling of 403680 in words is "four hundred three thousand, six hundred eighty".