409476122325 has 72 divisors (see below), whose sum is σ = 797547790728. Its totient is φ = 199985725440.

The previous prime is 409476122311. The next prime is 409476122329. The reversal of 409476122325 is 523221674904.

409476122325 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 7 + 612 + 2 + 3 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 104941010916 + 304535111409 = 323946^2 + 551847^2 .

It is not a de Polignac number, because 409476122325 - 2⁷ = 409476122197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409476122329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305132 + ... + 1588181.

It is an arithmetic number, because the mean of its divisors is an integer number (11077052649).

Almost surely, 2^409476122325 is an apocalyptic number.

409476122325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409476122325 is a deficient number, since it is larger than the sum of its proper divisors (388071668403).

409476122325 is a wasteful number, since it uses less digits than its factorization.

409476122325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893383 (or 2893375 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 409476122325 in words is "four hundred nine billion, four hundred seventy-six million, one hundred twenty-two thousand, three hundred twenty-five".