411402304 has 56 divisors (see below), whose sum is σ = 833978520. Its totient is φ = 201314304.

The previous prime is 411402289. The next prime is 411402319. The reversal of 411402304 is 403204114.

It is an interprime number because it is at equal distance from previous prime (411402289) and next prime (411402319).

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 184960000 = 15048^2 + 13600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808002 + ... + 808510.

Almost surely, 2^411402304 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 411402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416989260).

411402304 is an abundant number, since it is smaller than the sum of its proper divisors (422576216).

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

411402304 is a wasteful number, since it uses less digits than its factorization.

411402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 411402304 is about 20283.0546023029. The cubic root of 411402304 is about 743.7418844865.

Adding to 411402304 its reverse (403204114), we get a palindrome (814606418).

The spelling of 411402304 in words is "four hundred eleven million, four hundred two thousand, three hundred four".