407626068 has 96 divisors (see below), whose sum is σ = 1064448000. Its totient is φ = 120798720.

The previous prime is 407626061. The next prime is 407626081. The reversal of 407626068 is 860626704.

It is a super-3 number, since 3×407626068³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407626061) 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 31 ways as a sum of consecutive naturals, for example, 271183 + ... + 272681.

It is an arithmetic number, because the mean of its divisors is an integer number (11088000).

Almost surely, 2^407626068 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 407626068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224000).

407626068 is an abundant number, since it is smaller than the sum of its proper divisors (656821932).

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

407626068 is a wasteful number, since it uses less digits than its factorization.

407626068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 407626068 is about 20189.7515586497. The cubic root of 407626068 is about 741.4592995373.

The spelling of 407626068 in words is "four hundred seven million, six hundred twenty-six thousand, sixty-eight".