412771320 has 192 divisors, whose sum is σ = 1462406400. Its totient is φ = 100362240.

The previous prime is 412771291. The next prime is 412771321. The reversal of 412771320 is 23177214.

It is a happy number.

It is a super-2 number, since 2×412771320² = 340760325229084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412771321) 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, 416025 + ... + 417015.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^412771320 is an apocalyptic number.

412771320 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 412771320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

412771320 is an abundant number, since it is smaller than the sum of its proper divisors (1049635080).

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

412771320 is a wasteful number, since it uses less digits than its factorization.

412771320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 412771320 is about 20316.7743502752. The cubic root of 412771320 is about 744.5659498875.

The spelling of 412771320 in words is "four hundred twelve million, seven hundred seventy-one thousand, three hundred twenty".