454520020761 has 45 divisors (see below), whose sum is σ = 684502574349. Its totient is φ = 300566070144.

The previous prime is 454520020739. The next prime is 454520020837. The reversal of 454520020761 is 167020025454.

It is a happy number.

The square root of 454520020761 is 674181.

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

454520020761 is a `hidden beast` number, since 4 + 54 + 520 + 0 + 20 + 7 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 594433161 + 453925587600 = 24381^2 + 673740^2 .

It is not a de Polignac number, because 454520020761 - 2¹⁵ = 454519987993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (454520020561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1049699601 + ... + 1049700033.

Almost surely, 2^454520020761 is an apocalyptic number.

454520020761 is the 674181-st square number.

454520020761 is the 337091-st centered octagonal number.

It is an amenable number.

454520020761 is a deficient number, since it is larger than the sum of its proper divisors (229982553588).

454520020761 is an frugal number, since it uses more digits than its factorization.

454520020761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 454520020761 by its sum of digits (36), we get a square (16362720747396 = 4045086²).

The spelling of 454520020761 in words is "four hundred fifty-four billion, five hundred twenty million, twenty thousand, seven hundred sixty-one".