412353568 has 144 divisors (see below), whose sum is σ = 972917568. Its totient is φ = 170227200.

The previous prime is 412353553. The next prime is 412353583. The reversal of 412353568 is 865353214.

It is an interprime number because it is at equal distance from previous prime (412353553) and next prime (412353583).

Its product of digits (86400) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7780230 + ... + 7780282.

It is an arithmetic number, because the mean of its divisors is an integer number (6756372).

Almost surely, 2^412353568 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 412353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486458784).

412353568 is an abundant number, since it is smaller than the sum of its proper divisors (560564000).

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

412353568 is a wasteful number, since it uses less digits than its factorization.

412353568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 412353568 is about 20306.4907849682. The cubic root of 412353568 is about 744.3146816985.

The spelling of 412353568 in words is "four hundred twelve million, three hundred fifty-three thousand, five hundred sixty-eight".