412310304 has 144 divisors (see below), whose sum is σ = 1399053600. Its totient is φ = 117790848.

The previous prime is 412310291. The next prime is 412310321. The reversal of 412310304 is 403013214.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37467 + ... + 47205.

It is an arithmetic number, because the mean of its divisors is an integer number (9715650).

Almost surely, 2^412310304 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 412310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699526800).

412310304 is an abundant number, since it is smaller than the sum of its proper divisors (986743296).

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

412310304 is a wasteful number, since it uses less digits than its factorization.

412310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9751 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412310304 is about 20305.4254818755. The cubic root of 412310304 is about 744.2886497046.

Adding to 412310304 its reverse (403013214), we get a palindrome (815323518).

The spelling of 412310304 in words is "four hundred twelve million, three hundred ten thousand, three hundred four".