419985477 has 6 divisors (see below), whose sum is σ = 606645702. Its totient is φ = 279990312.

The previous prime is 419985473. The next prime is 419985521. The reversal of 419985477 is 774589914.

419985477 is a `hidden beast` number, since 4 + 1 + 9 + 98 + 547 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 274034916 + 145950561 = 16554^2 + 12081^2 .

It is not a de Polignac number, because 419985477 - 2² = 419985473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419985473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23332518 + ... + 23332535.

It is an arithmetic number, because the mean of its divisors is an integer number (101107617).

Almost surely, 2^419985477 is an apocalyptic number.

It is an amenable number.

419985477 is a deficient number, since it is larger than the sum of its proper divisors (186660225).

419985477 is a wasteful number, since it uses less digits than its factorization.

419985477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46665059 (or 46665056 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 419985477 is about 20493.5472039371. The cubic root of 419985477 is about 748.8786068054.

It can be divided in two parts, 4199 and 85477, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 419985477 in words is "four hundred nineteen million, nine hundred eighty-five thousand, four hundred seventy-seven".