412316352 has 224 divisors, whose sum is σ = 1404518400. Its totient is φ = 116176896.

The previous prime is 412316341. The next prime is 412316353. The reversal of 412316352 is 253613214.

412316352 is a `hidden beast` number, since 4 + 1 + 23 + 1 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412316353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076353 + ... + 1076735.

Almost surely, 2^412316352 is an apocalyptic number.

412316352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

412316352 is an abundant number, since it is smaller than the sum of its proper divisors (992202048).

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

412316352 is a wasteful number, since it uses less digits than its factorization.

412316352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 412316352 is about 20305.5744070440. The cubic root of 412316352 is about 744.2922889020.

Adding to 412316352 its reverse (253613214), we get a palindrome (665929566).

The spelling of 412316352 in words is "four hundred twelve million, three hundred sixteen thousand, three hundred fifty-two".