412333505424 has 75 divisors (see below), whose sum is σ = 1193479702657. Its totient is φ = 137436796224.

The previous prime is 412333505407. The next prime is 412333505471. The reversal of 412333505424 is 424505333214.

The square root of 412333505424 is 642132.

It is a perfect power (a square), and thus also a powerful number.

412333505424 is a `hidden beast` number, since 4 + 1 + 233 + 350 + 54 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352194771600 + 60138733824 = 593460^2 + 245232^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23107834 + ... + 23125670.

Almost surely, 2^412333505424 is an apocalyptic number.

412333505424 is the 642132-nd square number.

It is an amenable number.

412333505424 is an abundant number, since it is smaller than the sum of its proper divisors (781146197233).

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

412333505424 is an frugal number, since it uses more digits than its factorization.

412333505424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35694 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Multiplying 412333505424 by its sum of digits (36), we get a square (14844006195264 = 3852792²).

412333505424 divided by its sum of digits (36) gives a square (11453708484 = 107022²).

Adding to 412333505424 its reverse (424505333214), we get a palindrome (836838838638).

The spelling of 412333505424 in words is "four hundred twelve billion, three hundred thirty-three million, five hundred five thousand, four hundred twenty-four".