481046381 has 2 divisors, whose sum is σ = 481046382. Its totient is φ = 481046380.

The previous prime is 481046353. The next prime is 481046383. The reversal of 481046381 is 183640184.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417589225 + 63457156 = 20435^2 + 7966^2 .

It is a cyclic number.

It is not a de Polignac number, because 481046381 - 2¹⁸ = 480784237 is a prime.

It is a super-3 number, since 3×481046381³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 481046383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (481046383) 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 as a sum of consecutive naturals, namely, 240523190 + 240523191.

It is an arithmetic number, because the mean of its divisors is an integer number (240523191).

Almost surely, 2^481046381 is an apocalyptic number.

It is an amenable number.

481046381 is a deficient number, since it is larger than the sum of its proper divisors (1).

481046381 is an equidigital number, since it uses as much as digits as its factorization.

481046381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 481046381 is about 21932.7695697557. The cubic root of 481046381 is about 783.5420657369.

The spelling of 481046381 in words is "four hundred eighty-one million, forty-six thousand, three hundred eighty-one".