408763520845801 has 81 divisors (see below), whose sum is σ = 473538643832709. Its totient is φ = 352567844798400.

The previous prime is 408763520845783. The next prime is 408763520845837. The reversal of 408763520845801 is 108548025367804.

The square root of 408763520845801 is 20217901.

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

It can be written as a sum of positive squares in 4 ways, for example, as 122649002239401 + 286114518606400 = 11074701^2 + 16914920^2 .

It is not a de Polignac number, because 408763520845801 - 2³⁹ = 408213765031913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

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 408763520845801.

It is not an unprimeable number, because it can be changed into a prime (408763520848801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 393420135040 + ... + 393420136078.

Almost surely, 2^{408763520845801} is an apocalyptic number.

408763520845801 is the 20217901-st square number.

408763520845801 is the 10108951-st centered octagonal number.

It is an amenable number.

408763520845801 is a deficient number, since it is larger than the sum of its proper divisors (64775122986908).

408763520845801 is an frugal number, since it uses more digits than its factorization.

408763520845801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 61.

The spelling of 408763520845801 in words is "four hundred eight trillion, seven hundred sixty-three billion, five hundred twenty million, eight hundred forty-five thousand, eight hundred one".