412731072 has 224 divisors, whose sum is σ = 1376883200. Its totient is φ = 120185856.

The previous prime is 412731047. The next prime is 412731073. The reversal of 412731072 is 270137214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412731073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426333 + ... + 427299.

It is an arithmetic number, because the mean of its divisors is an integer number (6146800).

Almost surely, 2^412731072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688441600).

412731072 is an abundant number, since it is smaller than the sum of its proper divisors (964152128).

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

412731072 is a wasteful number, since it uses less digits than its factorization.

412731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

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

The square root of 412731072 is about 20315.7838145615. The cubic root of 412731072 is about 744.5417490262.

Adding to 412731072 its reverse (270137214), we get a palindrome (682868286).

The spelling of 412731072 in words is "four hundred twelve million, seven hundred thirty-one thousand, seventy-two".