412785024 has 128 divisors (see below), whose sum is σ = 1193032800. Its totient is φ = 125927424.

The previous prime is 412785017. The next prime is 412785029. The reversal of 412785024 is 420587214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412785029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240682 + ... + 242390.

Almost surely, 2^412785024 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 412785024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596516400).

412785024 is an abundant number, since it is smaller than the sum of its proper divisors (780247776).

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

412785024 is a wasteful number, since it uses less digits than its factorization.

412785024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 412785024 is about 20317.1116057377. Note that the first 3 decimals coincide. The cubic root of 412785024 is about 744.5741896548.

The spelling of 412785024 in words is "four hundred twelve million, seven hundred eighty-five thousand, twenty-four".