420917125 has 16 divisors (see below), whose sum is σ = 530141040. Its totient is φ = 333633600.

The previous prime is 420917117. The next prime is 420917177. The reversal of 420917125 is 521719024.

It can be written as a sum of positive squares in 8 ways, for example, as 120692196 + 300224929 = 10986^2 + 17327^2 .

It is not a de Polignac number, because 420917125 - 2³ = 420917117 is a prime.

It is a super-2 number, since 2×420917125² = 354342452236531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822 + ... + 29071.

It is an arithmetic number, because the mean of its divisors is an integer number (33133815).

Almost surely, 2^420917125 is an apocalyptic number.

It is an amenable number.

420917125 is a deficient number, since it is larger than the sum of its proper divisors (109223915).

420917125 is a wasteful number, since it uses less digits than its factorization.

420917125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31017 (or 31007 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 420917125 is about 20516.2648891069. The cubic root of 420917125 is about 749.4319402231.

The spelling of 420917125 in words is "four hundred twenty million, nine hundred seventeen thousand, one hundred twenty-five".