409902948 has 144 divisors (see below), whose sum is σ = 1283458176. Its totient is φ = 107412480.

The previous prime is 409902923. The next prime is 409902949. The reversal of 409902948 is 849209904.

It is not an unprimeable number, because it can be changed into a prime (409902949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690940 + ... + 691532.

It is an arithmetic number, because the mean of its divisors is an integer number (8912904).

Almost surely, 2^409902948 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 409902948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641729088).

409902948 is an abundant number, since it is smaller than the sum of its proper divisors (873555228).

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

409902948 is a wasteful number, since it uses less digits than its factorization.

409902948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 409902948 is about 20246.0600611576. The cubic root of 409902948 is about 742.8372620137.

The spelling of 409902948 in words is "four hundred nine million, nine hundred two thousand, nine hundred forty-eight".