408396764160 has 2464 divisors, whose sum is σ = 1933088544000. Its totient is φ = 81935400960.

The previous prime is 408396764159. The next prime is 408396764201. The reversal of 408396764160 is 61467693804.

408396764160 is a `hidden beast` number, since 408 + 3 + 9 + 6 + 76 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

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

It is a junction number, because it is equal to n+sod(n) for n = 408396764097 and 408396764106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14082647026 + ... + 14082647054.

Almost surely, 2^408396764160 is an apocalyptic number.

408396764160 is a gapful number since it is divisible by the number (40) 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 408396764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966544272000).

408396764160 is an abundant number, since it is smaller than the sum of its proper divisors (1524691779840).

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

408396764160 is an equidigital number, since it uses as much as digits as its factorization.

408396764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 408396764160 in words is "four hundred eight billion, three hundred ninety-six million, seven hundred sixty-four thousand, one hundred sixty".