408165486480 has 240 divisors, whose sum is σ = 1422175058304. Its totient is φ = 108794327040.

The previous prime is 408165486451. The next prime is 408165486539. The reversal of 408165486480 is 84684561804.

It is a happy number.

408165486480 is a `hidden beast` number, since 4 + 0 + 8 + 16 + 548 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65334717 + ... + 65340963.

Almost surely, 2^408165486480 is an apocalyptic number.

408165486480 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 408165486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711087529152).

408165486480 is an abundant number, since it is smaller than the sum of its proper divisors (1014009571824).

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

408165486480 is a wasteful number, since it uses less digits than its factorization.

408165486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9636 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 408165486480 in words is "four hundred eight billion, one hundred sixty-five million, four hundred eighty-six thousand, four hundred eighty".