415520762881 has 27 divisors (see below), whose sum is σ = 490642963587. Its totient is φ = 350873570880.

The previous prime is 415520762869. The next prime is 415520762911. The reversal of 415520762881 is 188267025514.

The square root of 415520762881 is 644609.

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., 414240268225 + 1280494656 = 643615^2 + 35784^2 .

It is not a de Polignac number, because 415520762881 - 2¹³ = 415520754689 is a prime.

It is a super-3 number, since 3×415520762881³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (415520762831) 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, 320370025 + ... + 320371321.

Almost surely, 2^415520762881 is an apocalyptic number.

415520762881 is the 644609-th square number.

415520762881 is the 322305-th centered octagonal number.

It is an amenable number.

415520762881 is a deficient number, since it is larger than the sum of its proper divisors (75122200706).

415520762881 is an frugal number, since it uses more digits than its factorization.

415520762881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

Multiplying 415520762881 by its sum of digits (49), we get a square (20360517381169 = 4512263²).

415520762881 divided by its sum of digits (49) gives a square (8480015569 = 92087²).

The spelling of 415520762881 in words is "four hundred fifteen billion, five hundred twenty million, seven hundred sixty-two thousand, eight hundred eighty-one".