408465348480 has 1344 divisors, whose sum is σ = 1804989556080. Its totient is φ = 87787929600.

The previous prime is 408465348479. The next prime is 408465348523. The reversal of 408465348480 is 84843564804.

It is a happy number.

408465348480 is a `hidden beast` number, since 4 + 0 + 84 + 6 + 5 + 3 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 388643955 + ... + 388645005.

Almost surely, 2^408465348480 is an apocalyptic number.

408465348480 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 408465348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902494778040).

408465348480 is an abundant number, since it is smaller than the sum of its proper divisors (1396524207600).

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

408465348480 is a wasteful number, since it uses less digits than its factorization.

408465348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 408465348480 in words is "four hundred eight billion, four hundred sixty-five million, three hundred forty-eight thousand, four hundred eighty".