409335209952 has 48 divisors (see below), whose sum is σ = 1074649951872. Its totient is φ = 136426654080.

The previous prime is 409335209831. The next prime is 409335209953. The reversal of 409335209952 is 259902533904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 409335209895 and 409335209904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409335209953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436677 + ... + 1004667.

It is an arithmetic number, because the mean of its divisors is an integer number (22388540664).

Almost surely, 2^409335209952 is an apocalyptic number.

It is an amenable number.

409335209952 is an abundant number, since it is smaller than the sum of its proper divisors (665314741920).

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

409335209952 is a wasteful number, since it uses less digits than its factorization.

409335209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575511 (or 575503 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 409335209952 in words is "four hundred nine billion, three hundred thirty-five million, two hundred nine thousand, nine hundred fifty-two".