412739712 has 480 divisors, whose sum is σ = 1575826560. Its totient is φ = 104924160.

The previous prime is 412739711. The next prime is 412739749. The reversal of 412739712 is 217937214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412739711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8781673 + ... + 8781719.

It is an arithmetic number, because the mean of its divisors is an integer number (3282972).

Almost surely, 2^412739712 is an apocalyptic number.

412739712 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 412739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787913280).

412739712 is an abundant number, since it is smaller than the sum of its proper divisors (1163086848).

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

412739712 is a wasteful number, since it uses less digits than its factorization.

412739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 412739712 is about 20315.9964559950. The cubic root of 412739712 is about 744.5469443347.

The spelling of 412739712 in words is "four hundred twelve million, seven hundred thirty-nine thousand, seven hundred twelve".