412131720 has 512 divisors, whose sum is σ = 1718599680. Its totient is φ = 76308480.

The previous prime is 412131719. The next prime is 412131721. The reversal of 412131720 is 27131214.

It is an interprime number because it is at equal distance from previous prime (412131719) and next prime (412131721).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (412131721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5645604 + ... + 5645676.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^412131720 is an apocalyptic number.

412131720 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 412131720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859299840).

412131720 is an abundant number, since it is smaller than the sum of its proper divisors (1306467960).

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

412131720 is a wasteful number, since it uses less digits than its factorization.

412131720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 412131720 is about 20301.0275602000. The cubic root of 412131720 is about 744.1811762493.

Adding to 412131720 its reverse (27131214), we get a palindrome (439262934).

The spelling of 412131720 in words is "four hundred twelve million, one hundred thirty-one thousand, seven hundred twenty".