412511456 has 48 divisors (see below), whose sum is σ = 939939840. Its totient is φ = 174545280.

The previous prime is 412511453. The next prime is 412511459. The reversal of 412511456 is 654115214.

It is an interprime number because it is at equal distance from previous prime (412511453) and next prime (412511459).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412511453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6041 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (19582080).

Almost surely, 2^412511456 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 412511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469969920).

412511456 is an abundant number, since it is smaller than the sum of its proper divisors (527428384).

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

412511456 is a wasteful number, since it uses less digits than its factorization.

412511456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407 (or 23399 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 412511456 is about 20310.3780368559. The cubic root of 412511456 is about 744.4096676278.

The spelling of 412511456 in words is "four hundred twelve million, five hundred eleven thousand, four hundred fifty-six".