403411680 has 288 divisors, whose sum is σ = 1625315328. Its totient is φ = 89164800.

The previous prime is 403411661. The next prime is 403411691. The reversal of 403411680 is 86114304.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311835 + ... + 313125.

It is an arithmetic number, because the mean of its divisors is an integer number (5643456).

Almost surely, 2^403411680 is an apocalyptic number.

403411680 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 403411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812657664).

403411680 is an abundant number, since it is smaller than the sum of its proper divisors (1221903648).

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

403411680 is a wasteful number, since it uses less digits than its factorization.

403411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 403411680 is about 20085.1109033533. The cubic root of 403411680 is about 738.8951615936.

Adding to 403411680 its reverse (86114304), we get a palindrome (489525984).

The spelling of 403411680 in words is "four hundred three million, four hundred eleven thousand, six hundred eighty".