419960385 has 48 divisors (see below), whose sum is σ = 795045888. Its totient is φ = 203817600.

The previous prime is 419960377. The next prime is 419960461. The reversal of 419960385 is 583069914.

It is a happy number.

It is not a de Polignac number, because 419960385 - 2³ = 419960377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 419960385.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36480 + ... + 46590.

It is an arithmetic number, because the mean of its divisors is an integer number (16563456).

Almost surely, 2^419960385 is an apocalyptic number.

419960385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

419960385 is a deficient number, since it is larger than the sum of its proper divisors (375085503).

419960385 is a wasteful number, since it uses less digits than its factorization.

419960385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 419960385 is about 20492.9350020928. The cubic root of 419960385 is about 748.8636926101.

The spelling of 419960385 in words is "four hundred nineteen million, nine hundred sixty thousand, three hundred eighty-five".