407427328 has 108 divisors (see below), whose sum is σ = 1022163520. Its totient is φ = 158653440.

The previous prime is 407427311. The next prime is 407427331. The reversal of 407427328 is 823724704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215893 + ... + 217771.

Almost surely, 2^407427328 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 407427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511081760).

407427328 is an abundant number, since it is smaller than the sum of its proper divisors (614736192).

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

407427328 is a wasteful number, since it uses less digits than its factorization.

407427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 407427328 is about 20184.8291545903. The cubic root of 407427328 is about 741.3387792962.

The spelling of 407427328 in words is "four hundred seven million, four hundred twenty-seven thousand, three hundred twenty-eight".