495406125 has 80 divisors (see below), whose sum is σ = 933908976. Its totient is φ = 261273600.

The previous prime is 495406123. The next prime is 495406141. The reversal of 495406125 is 521604594.

495406125 is a `hidden beast` number, since 495 + 40 + 6 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 414081801 + 81324324 = 20349^2 + 9018^2 .

It is not a de Polignac number, because 495406125 - 2¹ = 495406123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 495406125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495406123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1143909 + ... + 1144341.

Almost surely, 2^495406125 is an apocalyptic number.

495406125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495406125 is a deficient number, since it is larger than the sum of its proper divisors (438502851).

495406125 is a wasteful number, since it uses less digits than its factorization.

495406125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 495406125 is about 22257.7205706245. The cubic root of 495406125 is about 791.2622693006.

The spelling of 495406125 in words is "four hundred ninety-five million, four hundred six thousand, one hundred twenty-five".