419963049 has 81 divisors (see below), whose sum is σ = 723795709. Its totient is φ = 243456840.

The previous prime is 419963039. The next prime is 419963057. The reversal of 419963049 is 940369914.

The square root of 419963049 is 20493.

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

419963049 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 630 + 4 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 419963049 - 2⁵ = 419963017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 419962995 and 419963013.

It is not an unprimeable number, because it can be changed into a prime (419963029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18259252 + ... + 18259274.

Almost surely, 2^419963049 is an apocalyptic number.

419963049 is the 20493-rd square number.

419963049 is the 10247-th centered octagonal number.

It is an amenable number.

419963049 is a deficient number, since it is larger than the sum of its proper divisors (303832660).

419963049 is an frugal number, since it uses more digits than its factorization.

419963049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The cubic root of 419963049 is about 748.8652760679.

The spelling of 419963049 in words is "four hundred nineteen million, nine hundred sixty-three thousand, forty-nine".