407096928 has 216 divisors, whose sum is σ = 1378842192. Its totient is φ = 115893504.

The previous prime is 407096881. The next prime is 407096933. The reversal of 407096928 is 829690704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1469526 + ... + 1469802.

Almost surely, 2^407096928 is an apocalyptic number.

407096928 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 407096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689421096).

407096928 is an abundant number, since it is smaller than the sum of its proper divisors (971745264).

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

407096928 is an frugal number, since it uses more digits than its factorization.

407096928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

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

The square root of 407096928 is about 20176.6431301146. The cubic root of 407096928 is about 741.1383308105.

The spelling of 407096928 in words is "four hundred seven million, ninety-six thousand, nine hundred twenty-eight".