407755968 has 56 divisors (see below), whose sum is σ = 1084600320. Its totient is φ = 135194880.

The previous prime is 407755967. The next prime is 407755987. The reversal of 407755968 is 869557704.

It is a self number, because there is not a number n which added to its sum of digits gives 407755968.

It is not an unprimeable number, because it can be changed into a prime (407755963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31113 + ... + 42231.

Almost surely, 2^407755968 is an apocalyptic number.

407755968 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 407755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542300160).

407755968 is an abundant number, since it is smaller than the sum of its proper divisors (676844352).

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

407755968 is a wasteful number, since it uses less digits than its factorization.

407755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 407755968 is about 20192.9682810626. The cubic root of 407755968 is about 741.5380525427.

The spelling of 407755968 in words is "four hundred seven million, seven hundred fifty-five thousand, nine hundred sixty-eight".