407328768 has 432 divisors, whose sum is σ = 1529335080. Its totient is φ = 103219200.

The previous prime is 407328767. The next prime is 407328787. The reversal of 407328768 is 867823704.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407328763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9934828 + ... + 9934868.

Almost surely, 2^407328768 is an apocalyptic number.

407328768 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 407328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764667540).

407328768 is an abundant number, since it is smaller than the sum of its proper divisors (1122006312).

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

407328768 is a wasteful number, since it uses less digits than its factorization.

407328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 407328768 is about 20182.3875693635. The cubic root of 407328768 is about 741.2789958390.

The spelling of 407328768 in words is "four hundred seven million, three hundred twenty-eight thousand, seven hundred sixty-eight".