415252648801 has 3 divisors (see below), whose sum is σ = 415253293203. Its totient is φ = 415252004400.

The previous prime is 415252648799. The next prime is 415252648807. The reversal of 415252648801 is 108846252514.

The square root of 415252648801 is 644401.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 18050191201 + 397202457600 = 134351^2 + 630240^2 .

It is not a de Polignac number, because 415252648801 - 2¹ = 415252648799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415252648807) 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, 322201 + ... + 966601.

It is an arithmetic number, because the mean of its divisors is an integer number (138417764401).

Almost surely, 2^415252648801 is an apocalyptic number.

415252648801 is the 644401-st square number.

415252648801 is the 322201-st centered octagonal number.

It is an amenable number.

415252648801 is a deficient number, since it is larger than the sum of its proper divisors (644402).

415252648801 is an frugal number, since it uses more digits than its factorization.

415252648801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288802 (or 644401 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 415252648801 in words is "four hundred fifteen billion, two hundred fifty-two million, six hundred forty-eight thousand, eight hundred one".