414520284672 has 640 divisors, whose sum is σ = 1410843033600. Its totient is φ = 119104929792.

The previous prime is 414520284671. The next prime is 414520284677. The reversal of 414520284672 is 276482025414.

414520284672 is a `hidden beast` number, since 4 + 14 + 520 + 2 + 8 + 46 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414520284671) 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 63 ways as a sum of consecutive naturals, for example, 249259713 + ... + 249261375.

It is an arithmetic number, because the mean of its divisors is an integer number (2204442240).

Almost surely, 2^414520284672 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 414520284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705421516800).

414520284672 is an abundant number, since it is smaller than the sum of its proper divisors (996322748928).

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

414520284672 is a wasteful number, since it uses less digits than its factorization.

414520284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 414520284672 in words is "four hundred fourteen billion, five hundred twenty million, two hundred eighty-four thousand, six hundred seventy-two".