412305504 has 96 divisors (see below), whose sum is σ = 1197191520. Its totient is φ = 123420672.

The previous prime is 412305493. The next prime is 412305563. The reversal of 412305504 is 405503214.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41712 + ... + 50640.

It is an arithmetic number, because the mean of its divisors is an integer number (12470745).

Almost surely, 2^412305504 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 412305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598595760).

412305504 is an abundant number, since it is smaller than the sum of its proper divisors (784886016).

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

412305504 is a wasteful number, since it uses less digits than its factorization.

412305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 412305504 is about 20305.3072865199. The cubic root of 412305504 is about 744.2857614274.

Adding to 412305504 its reverse (405503214), we get a palindrome (817808718).

The spelling of 412305504 in words is "four hundred twelve million, three hundred five thousand, five hundred four".