408942387960976 has 15 divisors (see below), whose sum is σ = 792326033397433. Its totient is φ = 204471153535840.

The previous prime is 408942387960973. The next prime is 408942387961007. The reversal of 408942387960976 is 679069783249804.

The square root of 408942387960976 is 20222324.

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

It can be written as a sum of positive squares in only one way, i.e., 202284512600976 + 206657875360000 = 14222676^2 + 14375600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 408942387960976.

It is not an unprimeable number, because it can be changed into a prime (408942387960973) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 78361506 + ... + 83417086.

Almost surely, 2^{408942387960976} is an apocalyptic number.

408942387960976 is the 20222324-th square number.

It is an amenable number.

408942387960976 is a deficient number, since it is larger than the sum of its proper divisors (383383645436457).

408942387960976 is an frugal number, since it uses more digits than its factorization.

408942387960976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111170 (or 5055583 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 82.

The spelling of 408942387960976 in words is "four hundred eight trillion, nine hundred forty-two billion, three hundred eighty-seven million, nine hundred sixty thousand, nine hundred seventy-six".