407916448 has 48 divisors (see below), whose sum is σ = 816915456. Its totient is φ = 200473600.

The previous prime is 407916437. The next prime is 407916449. The reversal of 407916448 is 844619704.

It is not an unprimeable number, because it can be changed into a prime (407916449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1017048 + ... + 1017448.

It is an arithmetic number, because the mean of its divisors is an integer number (17019072).

Almost surely, 2^407916448 is an apocalyptic number.

It is an amenable number.

407916448 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

407916448 is a wasteful number, since it uses less digits than its factorization.

407916448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 407916448 is about 20196.9415506408. The cubic root of 407916448 is about 741.6353218472.

The spelling of 407916448 in words is "four hundred seven million, nine hundred sixteen thousand, four hundred forty-eight".