409803264 has 120 divisors (see below), whose sum is σ = 1273884612. Its totient is φ = 126074880.

The previous prime is 409803253. The next prime is 409803271. The reversal of 409803264 is 462308904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 408363264 + 1440000 = 20208^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56484 + ... + 63324.

Almost surely, 2^409803264 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 409803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636942306).

409803264 is an abundant number, since it is smaller than the sum of its proper divisors (864081348).

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

409803264 is a wasteful number, since it uses less digits than its factorization.

409803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409803264 is about 20243.5980991522. The cubic root of 409803264 is about 742.7770404471. Note that the first 3 decimals are identical.

It can be divided in two parts, 40980 and 3264, that added together give a palindrome (44244).

The spelling of 409803264 in words is "four hundred nine million, eight hundred three thousand, two hundred sixty-four".