420577575 has 48 divisors (see below), whose sum is σ = 784771200. Its totient is φ = 196873600.

The previous prime is 420577571. The next prime is 420577579. The reversal of 420577575 is 575775024.

It is an interprime number because it is at equal distance from previous prime (420577571) and next prime (420577579).

It is not a de Polignac number, because 420577575 - 2² = 420577571 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420577571) 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, 15136 + ... + 32714.

It is an arithmetic number, because the mean of its divisors is an integer number (16349400).

Almost surely, 2^420577575 is an apocalyptic number.

420577575 is a deficient number, since it is larger than the sum of its proper divisors (364193625).

420577575 is a wasteful number, since it uses less digits than its factorization.

420577575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 42.

The square root of 420577575 is about 20507.9880778198. The cubic root of 420577575 is about 749.2303660438.

The spelling of 420577575 in words is "four hundred twenty million, five hundred seventy-seven thousand, five hundred seventy-five".