481319721 has 27 divisors (see below), whose sum is σ = 712082397. Its totient is φ = 313288920.

The previous prime is 481319711. The next prime is 481319731. The reversal of 481319721 is 127913184.

It is a happy number.

The square root of 481319721 is 21939.

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 (481319711) and next prime (481319731).

It is not a de Polignac number, because 481319721 - 2¹⁹ = 480795433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481319701) 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, 4672956 + ... + 4673058.

Almost surely, 2^481319721 is an apocalyptic number.

481319721 is the 21939-th square number.

481319721 is the 10970-th centered octagonal number.

It is an amenable number.

481319721 is a deficient number, since it is larger than the sum of its proper divisors (230762676).

481319721 is an equidigital number, since it uses as much as digits as its factorization.

481319721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The cubic root of 481319721 is about 783.6904456324.

Multiplying 481319721 by its sum of digits (36), we get a square (17327509956 = 131634²).

The spelling of 481319721 in words is "four hundred eighty-one million, three hundred nineteen thousand, seven hundred twenty-one".