407720768 has 168 divisors, whose sum is σ = 1034945352. Its totient is φ = 157925376.

The previous prime is 407720759. The next prime is 407720801. The reversal of 407720768 is 867027704.

It can be written as a sum of positive squares in 4 ways, for example, as 30118144 + 377602624 = 5488^2 + 19432^2 .

It is a super-3 number, since 3×407720768³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2975996 + ... + 2976132.

It is an arithmetic number, because the mean of its divisors is an integer number (6160389).

Almost surely, 2^407720768 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 407720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517472676).

407720768 is an abundant number, since it is smaller than the sum of its proper divisors (627224584).

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

407720768 is a wasteful number, since it uses less digits than its factorization.

407720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 407720768 is about 20192.0966717179. The cubic root of 407720768 is about 741.5167138886.

The spelling of 407720768 in words is "four hundred seven million, seven hundred twenty thousand, seven hundred sixty-eight".