420585975 has 18 divisors (see below), whose sum is σ = 753316616. Its totient is φ = 224312400.

The previous prime is 420585973. The next prime is 420585989. The reversal of 420585975 is 579585024.

420585975 is a `hidden beast` number, since 4 + 2 + 0 + 58 + 597 + 5 = 666.

It is not a de Polignac number, because 420585975 - 2¹ = 420585973 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420585975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420585973) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 934411 + ... + 934860.

Almost surely, 2^420585975 is an apocalyptic number.

420585975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420585975 is a deficient number, since it is larger than the sum of its proper divisors (332730641).

420585975 is a wasteful number, since it uses less digits than its factorization.

420585975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869287 (or 1869279 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 420585975 is about 20508.1928750439. The cubic root of 420585975 is about 749.2353540203.

The spelling of 420585975 in words is "four hundred twenty million, five hundred eighty-five thousand, nine hundred seventy-five".