416480399 has 16 divisors (see below), whose sum is σ = 476748000. Its totient is φ = 361304064.

The previous prime is 416480377. The next prime is 416480417. The reversal of 416480399 is 993084614.

It is a cyclic number.

It is not a de Polignac number, because 416480399 - 2⁸ = 416480143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416480359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5474 + ... + 29375.

It is an arithmetic number, because the mean of its divisors is an integer number (29796750).

Almost surely, 2^416480399 is an apocalyptic number.

416480399 is a deficient number, since it is larger than the sum of its proper divisors (60267601).

416480399 is a wasteful number, since it uses less digits than its factorization.

416480399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34922.

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 416480399 is about 20407.8514057703. The cubic root of 416480399 is about 746.7894757296.

The spelling of 416480399 in words is "four hundred sixteen million, four hundred eighty thousand, three hundred ninety-nine".