412734432 has 192 divisors, whose sum is σ = 1271096064. Its totient is φ = 115875840.

The previous prime is 412734389. The next prime is 412734433. The reversal of 412734432 is 234437214.

It is a super-2 number, since 2×412734432² = 340699422716725248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412734432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412734433) 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, 1489878 + ... + 1490154.

It is an arithmetic number, because the mean of its divisors is an integer number (6620292).

Almost surely, 2^412734432 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 412734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635548032).

412734432 is an abundant number, since it is smaller than the sum of its proper divisors (858361632).

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

412734432 is a wasteful number, since it uses less digits than its factorization.

412734432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 412734432 is about 20315.8665087168. The cubic root of 412734432 is about 744.5437694326.

The spelling of 412734432 in words is "four hundred twelve million, seven hundred thirty-four thousand, four hundred thirty-two".