407612968 has 40 divisors (see below), whose sum is σ = 891642330. Its totient is φ = 174683040.

The previous prime is 407612963. The next prime is 407612981. The reversal of 407612968 is 869216704.

It can be written as a sum of positive squares in only one way, i.e., 242798724 + 164814244 = 15582^2 + 12838^2 .

It is a super-2 number, since 2×407612968² = 332296663363538048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407612963) 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 9 ways as a sum of consecutive naturals, for example, 8598 + ... + 29818.

Almost surely, 2^407612968 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 407612968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445821165).

407612968 is an abundant number, since it is smaller than the sum of its proper divisors (484029362).

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

407612968 is an equidigital number, since it uses as much as digits as its factorization.

407612968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21255 (or 21230 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 407612968 is about 20189.4271340224. The cubic root of 407612968 is about 741.4513566197.

The spelling of 407612968 in words is "four hundred seven million, six hundred twelve thousand, nine hundred sixty-eight".