408669966804 has 96 divisors (see below), whose sum is σ = 1106382606336. Its totient is φ = 116031905280.

The previous prime is 408669966721. The next prime is 408669966907.

408669966804 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×408669966804² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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, 92079 + ... + 908745.

It is an arithmetic number, because the mean of its divisors is an integer number (11524818816).

Almost surely, 2^408669966804 is an apocalyptic number.

408669966804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408669966804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553191303168).

408669966804 is an abundant number, since it is smaller than the sum of its proper divisors (697712639532).

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

408669966804 is a wasteful number, since it uses less digits than its factorization.

408669966804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816925 (or 816923 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 408669966804 in words is "four hundred eight billion, six hundred sixty-nine million, nine hundred sixty-six thousand, eight hundred four".