407906928 has 400 divisors, whose sum is σ = 1451907072. Its totient is φ = 108864000.

The previous prime is 407906923. The next prime is 407906957. The reversal of 407906928 is 829609704.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407906923) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5745133 + ... + 5745203.

Almost surely, 2^407906928 is an apocalyptic number.

407906928 is a gapful number since it is divisible by the number (48) 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 407906928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

407906928 is an abundant number, since it is smaller than the sum of its proper divisors (1044000144).

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

407906928 is a wasteful number, since it uses less digits than its factorization.

407906928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 407906928 is about 20196.7058700175. The cubic root of 407906928 is about 741.6295523461.

The spelling of 407906928 in words is "four hundred seven million, nine hundred six thousand, nine hundred twenty-eight".