408645254680576 has 351 divisors, whose sum is σ = 884708520781827. Its totient is φ = 188707609559040.

The previous prime is 408645254680571. The next prime is 408645254680661. The reversal of 408645254680576 is 675086452546804.

The square root of 408645254680576 is 20214976.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408645254680571) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 922449784611 + ... + 922449785053.

Almost surely, 2^{408645254680576} is an apocalyptic number.

408645254680576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

408645254680576 is the 20214976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408645254680576

408645254680576 is an abundant number, since it is smaller than the sum of its proper divisors (476063266101251).

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

408645254680576 is an frugal number, since it uses more digits than its factorization.

408645254680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 70.

The spelling of 408645254680576 in words is "four hundred eight trillion, six hundred forty-five billion, two hundred fifty-four million, six hundred eighty thousand, five hundred seventy-six".