481407481 has 9 divisors (see below), whose sum is σ = 495605901. Its totient is φ = 467606592.

The previous prime is 481407461. The next prime is 481407523. The reversal of 481407481 is 184704184.

481407481 = 2514² + 2515² + ... + 2587².

The square root of 481407481 is 21941.

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

It can be written as a sum of positive squares in 4 ways, for example, as 140635881 + 340771600 = 11859^2 + 18460^2 .

It is not a de Polignac number, because 481407481 - 2⁵ = 481407449 is a prime.

It is a super-2 number, since 2×481407481² = 463506325525530722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 481407481.

It is not an unprimeable number, because it can be changed into a prime (481407431) 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, 811521 + ... + 812113.

Almost surely, 2^481407481 is an apocalyptic number.

481407481 is the 21941-st square number.

481407481 is the 10971-st centered octagonal number.

It is an amenable number.

481407481 is a deficient number, since it is larger than the sum of its proper divisors (14198420).

481407481 is an frugal number, since it uses more digits than its factorization.

481407481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The cubic root of 481407481 is about 783.7380733601.

The spelling of 481407481 in words is "four hundred eighty-one million, four hundred seven thousand, four hundred eighty-one".