408492564480 has 2688 divisors, whose sum is σ = 2019736083456. Its totient is φ = 76441190400.

The previous prime is 408492564461. The next prime is 408492564541. The reversal of 408492564480 is 84465294804.

It is a happy number.

408492564480 is a `hidden beast` number, since 4 + 0 + 84 + 9 + 25 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 191 ways as a sum of consecutive naturals, for example, 9963233260 + ... + 9963233300.

It is an arithmetic number, because the mean of its divisors is an integer number (751389912).

Almost surely, 2^408492564480 is an apocalyptic number.

408492564480 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 408492564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009868041728).

408492564480 is an abundant number, since it is smaller than the sum of its proper divisors (1611243518976).

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

408492564480 is a wasteful number, since it uses less digits than its factorization.

408492564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 408492564480 in words is "four hundred eight billion, four hundred ninety-two million, five hundred sixty-four thousand, four hundred eighty".