412544032 has 72 divisors (see below), whose sum is σ = 891233280. Its totient is φ = 187745280.

The previous prime is 412544023. The next prime is 412544057. The reversal of 412544032 is 230445214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 412543988 and 412544006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285969 + ... + 287407.

It is an arithmetic number, because the mean of its divisors is an integer number (12378240).

Almost surely, 2^412544032 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 412544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445616640).

412544032 is an abundant number, since it is smaller than the sum of its proper divisors (478689248).

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

412544032 is a wasteful number, since it uses less digits than its factorization.

412544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 412544032 is about 20311.1799755701. The cubic root of 412544032 is about 744.4292624380.

Adding to 412544032 its reverse (230445214), we get a palindrome (642989246).

The spelling of 412544032 in words is "four hundred twelve million, five hundred forty-four thousand, thirty-two".