409853952 has 224 divisors, whose sum is σ = 1297533600. Its totient is φ = 127401984.

The previous prime is 409853947. The next prime is 409853953. The reversal of 409853952 is 259358904.

It is a junction number, because it is equal to n+sod(n) for n = 409853898 and 409853907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409853953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3760074 + ... + 3760182.

Almost surely, 2^409853952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648766800).

409853952 is an abundant number, since it is smaller than the sum of its proper divisors (887679648).

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

409853952 is a wasteful number, since it uses less digits than its factorization.

409853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 409853952 is about 20244.8500117931. The cubic root of 409853952 is about 742.8076635401.

The spelling of 409853952 in words is "four hundred nine million, eight hundred fifty-three thousand, nine hundred fifty-two".