420200577 has 12 divisors (see below), whose sum is σ = 642659940. Its totient is φ = 263655168.

The previous prime is 420200563. The next prime is 420200579. The reversal of 420200577 is 775002024.

It can be written as a sum of positive squares in 2 ways, for example, as 181683441 + 238517136 = 13479^2 + 15444^2 .

It is not a de Polignac number, because 420200577 - 2⁸ = 420200321 is a prime.

It is a super-2 number, since 2×420200577² = 353137049822265858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420200577.

It is not an unprimeable number, because it can be changed into a prime (420200579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1373052 + ... + 1373357.

It is an arithmetic number, because the mean of its divisors is an integer number (53554995).

Almost surely, 2^420200577 is an apocalyptic number.

It is an amenable number.

420200577 is a deficient number, since it is larger than the sum of its proper divisors (222459363).

420200577 is a wasteful number, since it uses less digits than its factorization.

420200577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746432 (or 2746429 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 420200577 is about 20498.7945255325. The cubic root of 420200577 is about 749.0064336825.

The spelling of 420200577 in words is "four hundred twenty million, two hundred thousand, five hundred seventy-seven".