409848864 has 96 divisors (see below), whose sum is σ = 1099635264. Its totient is φ = 133632000.

The previous prime is 409848863. The next prime is 409848877. The reversal of 409848864 is 468848904.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (409848863) 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, 1632739 + ... + 1632989.

It is an arithmetic number, because the mean of its divisors is an integer number (11454534).

Almost surely, 2^409848864 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 409848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549817632).

409848864 is an abundant number, since it is smaller than the sum of its proper divisors (689786400).

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

409848864 is a wasteful number, since it uses less digits than its factorization.

409848864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 409848864 is about 20244.7243498152. The cubic root of 409848864 is about 742.8045897452.

The spelling of 409848864 in words is "four hundred nine million, eight hundred forty-eight thousand, eight hundred sixty-four".