412600320 has 432 divisors, whose sum is σ = 1614298140. Its totient is φ = 97320960.

The previous prime is 412600303. The next prime is 412600339. The reversal of 412600320 is 23006214.

It is a happy number.

412600320 is a `hidden beast` number, since 41 + 2 + 600 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 402564096 + 10036224 = 20064^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412600293 and 412600302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11151342 + ... + 11151378.

Almost surely, 2^412600320 is an apocalyptic number.

412600320 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 412600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807149070).

412600320 is an abundant number, since it is smaller than the sum of its proper divisors (1201697820).

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

412600320 is a wasteful number, since it uses less digits than its factorization.

412600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412600320 is about 20312.5655691249. The cubic root of 412600320 is about 744.4631178373.

Adding to 412600320 its reverse (23006214), we get a palindrome (435606534).

The spelling of 412600320 in words is "four hundred twelve million, six hundred thousand, three hundred twenty".