412465536 has 144 divisors (see below), whose sum is σ = 1380883140. Its totient is φ = 117831168.

The previous prime is 412465531. The next prime is 412465567. The reversal of 412465536 is 635564214.

412465536 is a `hidden beast` number, since 41 + 24 + 65 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 412465536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412465531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52795 + ... + 60101.

Almost surely, 2^412465536 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 412465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690441570).

412465536 is an abundant number, since it is smaller than the sum of its proper divisors (968417604).

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

412465536 is a wasteful number, since it uses less digits than its factorization.

412465536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7341 (or 7319 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 412465536 is about 20309.2475488384. The cubic root of 412465536 is about 744.3820445078.

The spelling of 412465536 in words is "four hundred twelve million, four hundred sixty-five thousand, five hundred thirty-six".