420625361 has 16 divisors (see below), whose sum is σ = 468426000. Its totient is φ = 375176448.

The previous prime is 420625349. The next prime is 420625369. The reversal of 420625361 is 163526024.

It can be written as a sum of positive squares in 8 ways, for example, as 70224400 + 350400961 = 8380^2 + 18719^2 .

It is not a de Polignac number, because 420625361 - 2⁶ = 420625297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420625369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68735 + ... + 74603.

It is an arithmetic number, because the mean of its divisors is an integer number (29276625).

Almost surely, 2^420625361 is an apocalyptic number.

It is an amenable number.

420625361 is a deficient number, since it is larger than the sum of its proper divisors (47800639).

420625361 is a wasteful number, since it uses less digits than its factorization.

420625361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 420625361 is about 20509.1531029441. The cubic root of 420625361 is about 749.2587408063.

The spelling of 420625361 in words is "four hundred twenty million, six hundred twenty-five thousand, three hundred sixty-one".