417752006938 has 12 divisors (see below), whose sum is σ = 728934624522. Its totient is φ = 179036574360.

The previous prime is 417752006923. The next prime is 417752006941. The reversal of 417752006938 is 839600257714.

It can be written as a sum of positive squares in only one way, i.e., 398833930089 + 18918076849 = 631533^2 + 137543^2 .

It is a super-4 number, since 4×417752006938⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2131387693 + ... + 2131387888.

It is a 1-persistent number, because it is pandigital, but 2⋅417752006938 = 835504013876 is not.

Almost surely, 2^417752006938 is an apocalyptic number.

417752006938 is a deficient number, since it is larger than the sum of its proper divisors (311182617584).

417752006938 is a wasteful number, since it uses less digits than its factorization.

417752006938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262775597 (or 4262775590 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 417752006938 in words is "four hundred seventeen billion, seven hundred fifty-two million, six thousand, nine hundred thirty-eight".