412320 has 48 divisors (see below), whose sum is σ = 1300320. Its totient is φ = 109824.

The previous prime is 412303. The next prime is 412333. The reversal of 412320 is 23214.

412320 = T₈₀ + T₈₁ + ... + T₁₄₃.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 412296 and 412305.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412320.

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 7 ways as a sum of consecutive naturals, for example, 51 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (27090).

2⁴¹²³²⁰ is an apocalyptic number.

412320 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 412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650160).

412320 is an abundant number, since it is smaller than the sum of its proper divisors (888000).

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

412320 is a wasteful number, since it uses less digits than its factorization.

412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 412320 is about 642.1214838331. The cubic root of 412320 is about 74.4294483956.

Adding to 412320 its reverse (23214), we get a palindrome (435534).

The spelling of 412320 in words is "four hundred twelve thousand, three hundred twenty", and thus it is an iban number.