417864970272 has 48 divisors (see below), whose sum is σ = 1107146934432. Its totient is φ = 137986560000.

The previous prime is 417864970247. The next prime is 417864970279. The reversal of 417864970272 is 272079468714.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×417864970272² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (417864970279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20329729 + ... + 20350272.

It is an arithmetic number, because the mean of its divisors is an integer number (23065561134).

Almost surely, 2^417864970272 is an apocalyptic number.

It is an amenable number.

417864970272 is an abundant number, since it is smaller than the sum of its proper divisors (689281964160).

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

417864970272 is a wasteful number, since it uses less digits than its factorization.

417864970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40680121 (or 40680113 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 417864970272 in words is "four hundred seventeen billion, eight hundred sixty-four million, nine hundred seventy thousand, two hundred seventy-two".