450755361 has 45 divisors (see below), whose sum is σ = 785616579. Its totient is φ = 256810176.

The previous prime is 450755351. The next prime is 450755377. The reversal of 450755361 is 163557054.

The square root of 450755361 is 21231.

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

450755361 is a `hidden beast` number, since 4 + 50 + 75 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121550625 + 329204736 = 11025^2 + 18144^2 .

It is not a de Polignac number, because 450755361 - 2⁵ = 450755329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (450755351) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1337385 + ... + 1337721.

Almost surely, 2^450755361 is an apocalyptic number.

450755361 is the 21231-st square number.

450755361 is the 10616-th centered octagonal number.

It is an amenable number.

450755361 is a deficient number, since it is larger than the sum of its proper divisors (334861218).

450755361 is an frugal number, since it uses more digits than its factorization.

450755361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The cubic root of 450755361 is about 766.7379632708.

Multiplying 450755361 by its sum of digits (36), we get a square (16227192996 = 127386²).

The spelling of 450755361 in words is "four hundred fifty million, seven hundred fifty-five thousand, three hundred sixty-one".