412376832 has 216 divisors, whose sum is σ = 1410654336. Its totient is φ = 117697536.

The previous prime is 412376819. The next prime is 412376873. The reversal of 412376832 is 238673214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 434983 + ... + 435929.

Almost surely, 2^412376832 is an apocalyptic number.

412376832 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 412376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705327168).

412376832 is an abundant number, since it is smaller than the sum of its proper divisors (998277504).

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

412376832 is an frugal number, since it uses more digits than its factorization.

412376832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 959 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 412376832 is about 20307.0635986595. The cubic root of 412376832 is about 744.3286789188.

The spelling of 412376832 in words is "four hundred twelve million, three hundred seventy-six thousand, eight hundred thirty-two".