412122320 has 80 divisors (see below), whose sum is σ = 1001721600. Its totient is φ = 157527552.

The previous prime is 412122311. The next prime is 412122343. The reversal of 412122320 is 23221214.

412122320 = 14³ + 15³ + ... + 201³.

It is a tau number, because it is divible by the number of its divisors (80).

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, 160406 + ... + 162954.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2^412122320 is an apocalyptic number.

412122320 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 412122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

412122320 is an abundant number, since it is smaller than the sum of its proper divisors (589599280).

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

412122320 is a wasteful number, since it uses less digits than its factorization.

412122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 412122320 is about 20300.7960435053. The cubic root of 412122320 is about 744.1755183849.

Adding to 412122320 its reverse (23221214), we get a palindrome (435343534).

The spelling of 412122320 in words is "four hundred twelve million, one hundred twenty-two thousand, three hundred twenty".