404777385 has 48 divisors (see below), whose sum is σ = 745213440. Its totient is φ = 208245600.

The previous prime is 404777381. The next prime is 404777393. The reversal of 404777385 is 583777404.

It is not a de Polignac number, because 404777385 - 2² = 404777381 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 404777385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404777381) 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 47 ways as a sum of consecutive naturals, for example, 1301380 + ... + 1301690.

It is an arithmetic number, because the mean of its divisors is an integer number (15525280).

Almost surely, 2^404777385 is an apocalyptic number.

404777385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404777385 is a deficient number, since it is larger than the sum of its proper divisors (340436055).

404777385 is an equidigital number, since it uses as much as digits as its factorization.

404777385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 404777385 is about 20119.0801231070. The cubic root of 404777385 is about 739.7280379970.

The spelling of 404777385 in words is "four hundred four million, seven hundred seventy-seven thousand, three hundred eighty-five".