412321536 has 432 divisors, whose sum is σ = 1468000800. Its totient is φ = 113541120.

The previous prime is 412321523. The next prime is 412321537. The reversal of 412321536 is 635123214.

412321536 is a `hidden beast` number, since 4 + 123 + 2 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412321537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14217970 + ... + 14217998.

It is an arithmetic number, because the mean of its divisors is an integer number (3398150).

Almost surely, 2^412321536 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 412321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734000400).

412321536 is an abundant number, since it is smaller than the sum of its proper divisors (1055679264).

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

412321536 is a wasteful number, since it uses less digits than its factorization.

412321536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 412321536 is about 20305.7020563191. The cubic root of 412321536 is about 744.2954081857.

The spelling of 412321536 in words is "four hundred twelve million, three hundred twenty-one thousand, five hundred thirty-six".