412941672 has 256 divisors, whose sum is σ = 1397088000. Its totient is φ = 111283200.

The previous prime is 412941667. The next prime is 412941677. The reversal of 412941672 is 276149214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412941667) and next prime (412941677).

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (412941677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895522 + ... + 895982.

It is an arithmetic number, because the mean of its divisors is an integer number (5457375).

Almost surely, 2^412941672 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 412941672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544000).

412941672 is an abundant number, since it is smaller than the sum of its proper divisors (984146328).

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

412941672 is a wasteful number, since it uses less digits than its factorization.

412941672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 412941672 is about 20320.9663156062. The cubic root of 412941672 is about 744.6683640231.

The spelling of 412941672 in words is "four hundred twelve million, nine hundred forty-one thousand, six hundred seventy-two".