412933320 has 192 divisors, whose sum is σ = 1427166000. Its totient is φ = 103348224.

The previous prime is 412933309. The next prime is 412933321. The reversal of 412933320 is 23339214.

It is a happy number.

412933320 is a `hidden beast` number, since 41 + 293 + 332 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 268500996 + 144432324 = 16386^2 + 12018^2 .

It is not an unprimeable number, because it can be changed into a prime (412933321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385746 + ... + 386814.

Almost surely, 2^412933320 is an apocalyptic number.

412933320 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 412933320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713583000).

412933320 is an abundant number, since it is smaller than the sum of its proper divisors (1014232680).

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

412933320 is a wasteful number, since it uses less digits than its factorization.

412933320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 412933320 is about 20320.7608125286. The cubic root of 412933320 is about 744.6633435303.

The spelling of 412933320 in words is "four hundred twelve million, nine hundred thirty-three thousand, three hundred twenty".