420410385 has 32 divisors (see below), whose sum is σ = 751200000. Its totient is φ = 223077888.

The previous prime is 420410381. The next prime is 420410413. The reversal of 420410385 is 583014024.

It is not a de Polignac number, because 420410385 - 2² = 420410381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420410381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19041 + ... + 34689.

It is an arithmetic number, because the mean of its divisors is an integer number (23475000).

Almost surely, 2^420410385 is an apocalyptic number.

420410385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420410385 is a deficient number, since it is larger than the sum of its proper divisors (330789615).

420410385 is a wasteful number, since it uses less digits than its factorization.

420410385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15862 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420410385 is about 20503.9114561100. The cubic root of 420410385 is about 749.1310736782.

The spelling of 420410385 in words is "four hundred twenty million, four hundred ten thousand, three hundred eighty-five".