406477125 has 24 divisors (see below), whose sum is σ = 732744792. Its totient is φ = 216787200.

The previous prime is 406477117. The next prime is 406477133. The reversal of 406477125 is 521774604.

406477125 is a `hidden beast` number, since 4 + 0 + 647 + 7 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (406477117) and next prime (406477133).

It can be written as a sum of positive squares in 4 ways, for example, as 23648769 + 382828356 = 4863^2 + 19566^2 .

It is not a de Polignac number, because 406477125 - 2³ = 406477117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406477125.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 179532 + ... + 181781.

It is an arithmetic number, because the mean of its divisors is an integer number (30531033).

Almost surely, 2^406477125 is an apocalyptic number.

406477125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406477125 is a deficient number, since it is larger than the sum of its proper divisors (326267667).

406477125 is a wasteful number, since it uses less digits than its factorization.

406477125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361334 (or 361321 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 406477125 is about 20161.2778612865. The cubic root of 406477125 is about 740.7620133204.

The spelling of 406477125 in words is "four hundred six million, four hundred seventy-seven thousand, one hundred twenty-five".