427825125 has 192 divisors, whose sum is σ = 995904000. Its totient is φ = 179625600.

The previous prime is 427825087. The next prime is 427825127. The reversal of 427825125 is 521528724.

It is a happy number.

It is not a de Polignac number, because 427825125 - 2⁷ = 427824997 is a prime.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 427825125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427825127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2149776 + ... + 2149974.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2^427825125 is an apocalyptic number.

427825125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427825125 is an abundant number, since it is smaller than the sum of its proper divisors (568078875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427825125 is a wasteful number, since it uses less digits than its factorization.

427825125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 427825125 is about 20683.9339826833. The cubic root of 427825125 is about 753.5095517791.

It can be divided in two parts, 4278 and 25125, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 427825125 in words is "four hundred twenty-seven million, eight hundred twenty-five thousand, one hundred twenty-five".