407148448 has 72 divisors (see below), whose sum is σ = 945481572. Its totient is φ = 172053504.

The previous prime is 407148437. The next prime is 407148499. The reversal of 407148448 is 844841704.

It can be written as a sum of positive squares in 2 ways, for example, as 394101904 + 13046544 = 19852^2 + 3612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 407148448.

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 11 ways as a sum of consecutive naturals, for example, 112686 + ... + 116242.

Almost surely, 2^407148448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407148448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472740786).

407148448 is an abundant number, since it is smaller than the sum of its proper divisors (538333124).

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

407148448 is a wasteful number, since it uses less digits than its factorization.

407148448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 407148448 is about 20177.9198134991. The cubic root of 407148448 is about 741.1695943201.

The spelling of 407148448 in words is "four hundred seven million, one hundred forty-eight thousand, four hundred forty-eight".