412129872 has 360 divisors, whose sum is σ = 1509347840. Its totient is φ = 102643200.

The previous prime is 412129853. The next prime is 412129877. The reversal of 412129872 is 278921214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412129877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3780954 + ... + 3781062.

Almost surely, 2^412129872 is an apocalyptic number.

412129872 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 412129872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754673920).

412129872 is an abundant number, since it is smaller than the sum of its proper divisors (1097217968).

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

412129872 is a wasteful number, since it uses less digits than its factorization.

412129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 412129872 is about 20300.9820452115. The cubic root of 412129872 is about 744.1800639440.

The spelling of 412129872 in words is "four hundred twelve million, one hundred twenty-nine thousand, eight hundred seventy-two".