418980460369 has 9 divisors (see below), whose sum is σ = 425371264731. Its totient is φ = 412684299720.

The previous prime is 418980460331. The next prime is 418980460373. The reversal of 418980460369 is 963064089814.

It is a happy number.

The square root of 418980460369 is 647287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86731969 + 418893728400 = 9313^2 + 647220^2 .

It is not a de Polignac number, because 418980460369 - 2⁹ = 418980459857 is a prime.

It is a super-2 number, since 2×418980460369² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418980460469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43363399 + ... + 43373059.

It is an arithmetic number, because the mean of its divisors is an integer number (47263473859).

Almost surely, 2^418980460369 is an apocalyptic number.

418980460369 is the 647287-th square number.

418980460369 is the 323644-th centered octagonal number.

It is an amenable number.

418980460369 is a deficient number, since it is larger than the sum of its proper divisors (6390804362).

418980460369 is an frugal number, since it uses more digits than its factorization.

418980460369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19456 (or 9728 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 418980460369 in words is "four hundred eighteen billion, nine hundred eighty million, four hundred sixty thousand, three hundred sixty-nine".