464876721 has 9 divisors (see below), whose sum is σ = 671582041. Its totient is φ = 309874692.

The previous prime is 464876719. The next prime is 464876723. The reversal of 464876721 is 127678464.

The square root of 464876721 is 21561.

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

It is an interprime number because it is at equal distance from previous prime (464876719) and next prime (464876723).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 464876721 - 2¹ = 464876719 is a prime.

It is a super-2 number, since 2×464876721² = 432220731455423682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464876723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61090 + ... + 68276.

Almost surely, 2^464876721 is an apocalyptic number.

464876721 is the 21561-st square number.

464876721 is the 10781-st centered octagonal number.

It is an amenable number.

464876721 is a deficient number, since it is larger than the sum of its proper divisors (206705320).

464876721 is an frugal number, since it uses more digits than its factorization.

464876721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 7190 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The cubic root of 464876721 is about 774.6626188792.

Multiplying 464876721 by its product of digits (451584), we get a square (209930889176064 = 14488992²).

The spelling of 464876721 in words is "four hundred sixty-four million, eight hundred seventy-six thousand, seven hundred twenty-one".