412810272 has 144 divisors (see below), whose sum is σ = 1356106752. Its totient is φ = 116674560.

The previous prime is 412810253. The next prime is 412810297. The reversal of 412810272 is 272018214.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194497 + ... + 196607.

It is an arithmetic number, because the mean of its divisors is an integer number (9417408).

Almost surely, 2^412810272 is an apocalyptic number.

412810272 is a gapful number since it is divisible by the number (42) 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 412810272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678053376).

412810272 is an abundant number, since it is smaller than the sum of its proper divisors (943296480).

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

412810272 is a wasteful number, since it uses less digits than its factorization.

412810272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 412810272 is about 20317.7329444011. The cubic root of 412810272 is about 744.5893699744.

Adding to 412810272 its reverse (272018214), we get a palindrome (684828486).

It can be divided in two parts, 4128 and 10272, that added together give a square (14400 = 120²).

The spelling of 412810272 in words is "four hundred twelve million, eight hundred ten thousand, two hundred seventy-two".