412460532 has 192 divisors, whose sum is σ = 1219276800. Its totient is φ = 119496960.

The previous prime is 412460527. The next prime is 412460537. The reversal of 412460532 is 235064214.

412460532 is a `hidden beast` number, since 4 + 1 + 24 + 605 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (412460527) and next prime (412460537).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412460496 and 412460505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412460537) 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, 4634344 + ... + 4634432.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^412460532 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 412460532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

412460532 is an abundant number, since it is smaller than the sum of its proper divisors (806816268).

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

412460532 is a wasteful number, since it uses less digits than its factorization.

412460532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 412460532 is about 20309.1243533541. The cubic root of 412460532 is about 744.3790342338.

The spelling of 412460532 in words is "four hundred twelve million, four hundred sixty thousand, five hundred thirty-two".