412352160 has 192 divisors, whose sum is σ = 1466398080. Its totient is φ = 96481280.

The previous prime is 412352089. The next prime is 412352203. The reversal of 412352160 is 61253214.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412352160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151774 + ... + 154466.

It is an arithmetic number, because the mean of its divisors is an integer number (7637490).

Almost surely, 2^412352160 is an apocalyptic number.

412352160 is a gapful number since it is divisible by the number (40) 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 412352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733199040).

412352160 is an abundant number, since it is smaller than the sum of its proper divisors (1054045920).

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

412352160 is a wasteful number, since it uses less digits than its factorization.

412352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 412352160 is about 20306.4561162208. The cubic root of 412352160 is about 744.3138345321.

The spelling of 412352160 in words is "four hundred twelve million, three hundred fifty-two thousand, one hundred sixty".