412402320 has 320 divisors, whose sum is σ = 1642394880. Its totient is φ = 94003200.

The previous prime is 412402283. The next prime is 412402321. The reversal of 412402320 is 23204214.

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 = 412402293 and 412402302.

It is not an unprimeable number, because it can be changed into a prime (412402321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403410 + ... + 404430.

It is an arithmetic number, because the mean of its divisors is an integer number (5132484).

Almost surely, 2^412402320 is an apocalyptic number.

412402320 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 412402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

412402320 is an abundant number, since it is smaller than the sum of its proper divisors (1229992560).

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

412402320 is a wasteful number, since it uses less digits than its factorization.

412402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412402320 is about 20307.6911538461. The cubic root of 412402320 is about 744.3440136458.

Adding to 412402320 its reverse (23204214), we get a palindrome (435606534).

The spelling of 412402320 in words is "four hundred twelve million, four hundred two thousand, three hundred twenty".