406980872064 has 256 divisors, whose sum is σ = 1305660384000. Its totient is φ = 124053092352.

The previous prime is 406980872063. The next prime is 406980872107. The reversal of 406980872064 is 460278089604.

406980872064 is a `hidden beast` number, since 406 + 9 + 80 + 87 + 20 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 406980872064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406980872063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764967 + ... + 4849625.

It is an arithmetic number, because the mean of its divisors is an integer number (5100235875).

Almost surely, 2^406980872064 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 406980872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652830192000).

406980872064 is an abundant number, since it is smaller than the sum of its proper divisors (898679511936).

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

406980872064 is a wasteful number, since it uses less digits than its factorization.

406980872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84802 (or 84784 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 406980872064 in words is "four hundred six billion, nine hundred eighty million, eight hundred seventy-two thousand, sixty-four".