452628891729 has 135 divisors (see below), whose sum is σ = 804543071211. Its totient is φ = 252856507680.

The previous prime is 452628891593. The next prime is 452628891733. The reversal of 452628891729 is 927198826254.

The square root of 452628891729 is 672777.

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

452628891729 is a `hidden beast` number, since 4 + 526 + 2 + 8 + 89 + 1 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4987608129 + 447641283600 = 70623^2 + 669060^2 .

It is not a de Polignac number, because 452628891729 - 2³¹ = 450481408081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (452628891739) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2500712019 + ... + 2500712199.

Almost surely, 2^452628891729 is an apocalyptic number.

452628891729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

452628891729 is the 672777-th square number.

452628891729 is the 336389-th centered octagonal number.

It is an amenable number.

452628891729 is a deficient number, since it is larger than the sum of its proper divisors (351914179482).

452628891729 is an frugal number, since it uses more digits than its factorization.

452628891729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 250 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 452628891729 in words is "four hundred fifty-two billion, six hundred twenty-eight million, eight hundred ninety-one thousand, seven hundred twenty-nine".