407722568 has 60 divisors (see below), whose sum is σ = 855417075. Its totient is φ = 182187280.

The previous prime is 407722529. The next prime is 407722583. The reversal of 407722568 is 865227704.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 203861284 + 203861284 = 14278^2 + 14278^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14278.

It is a super-3 number, since 3×407722568³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6910523 + ... + 6910581.

Almost surely, 2^407722568 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 407722568

407722568 is an abundant number, since it is smaller than the sum of its proper divisors (447694507).

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

407722568 is an frugal number, since it uses more digits than its factorization.

407722568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 407722568 is about 20192.1412435631. The cubic root of 407722568 is about 741.5178050996.

The spelling of 407722568 in words is "four hundred seven million, seven hundred twenty-two thousand, five hundred sixty-eight".