420125607 has 48 divisors (see below), whose sum is σ = 713007360. Its totient is φ = 235526400.

The previous prime is 420125603. The next prime is 420125617. The reversal of 420125607 is 706521024.

420125607 is a `hidden beast` number, since 42 + 0 + 12 + 5 + 607 = 666.

It is not a de Polignac number, because 420125607 - 2² = 420125603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420125603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97182 + ... + 101412.

It is an arithmetic number, because the mean of its divisors is an integer number (14854320).

Almost surely, 2^420125607 is an apocalyptic number.

420125607 is a deficient number, since it is larger than the sum of its proper divisors (292881753).

420125607 is a wasteful number, since it uses less digits than its factorization.

420125607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 420125607 is about 20496.9657998446. The cubic root of 420125607 is about 748.9618864232.

The spelling of 420125607 in words is "four hundred twenty million, one hundred twenty-five thousand, six hundred seven".