419972690809 has 27 divisors (see below), whose sum is σ = 500397685263. Its totient is φ = 351441734112.

The previous prime is 419972690783. The next prime is 419972690843. The reversal of 419972690809 is 908096279914.

The square root of 419972690809 is 648053.

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., 31005927225 + 388966763584 = 176085^2 + 623672^2 .

It is not a de Polignac number, because 419972690809 - 2¹¹ = 419972688761 is a prime.

It is a super-2 number, since 2×419972690809² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419972696809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 195062877 + ... + 195065029.

Almost surely, 2^419972690809 is an apocalyptic number.

419972690809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

419972690809 is the 648053-rd square number.

419972690809 is the 324027-th centered octagonal number.

It is an amenable number.

419972690809 is a deficient number, since it is larger than the sum of its proper divisors (80424994454).

419972690809 is an frugal number, since it uses more digits than its factorization.

419972690809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 64.

Multiplying 419972690809 by its sum of digits (64), we get a square (26878252211776 = 5184424²).

The spelling of 419972690809 in words is "four hundred nineteen billion, nine hundred seventy-two million, six hundred ninety thousand, eight hundred nine".