464381281 has 24 divisors (see below), whose sum is σ = 583200744. Its totient is φ = 366508800.

The previous prime is 464381273. The next prime is 464381287. The reversal of 464381281 is 182183464.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 460317025 = 2016^2 + 21455^2 .

It is not a de Polignac number, because 464381281 - 2³ = 464381273 is a prime.

It is a super-2 number, since 2×464381281² = 431299948286401922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464381281.

It is not an unprimeable number, because it can be changed into a prime (464381287) 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 23 ways as a sum of consecutive naturals, for example, 382231 + ... + 383443.

It is an arithmetic number, because the mean of its divisors is an integer number (24300031).

Almost surely, 2^464381281 is an apocalyptic number.

It is an amenable number.

464381281 is a deficient number, since it is larger than the sum of its proper divisors (118819463).

464381281 is a wasteful number, since it uses less digits than its factorization.

464381281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1834 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 464381281 is about 21549.5076741906. The cubic root of 464381281 is about 774.3873234763.

The spelling of 464381281 in words is "four hundred sixty-four million, three hundred eighty-one thousand, two hundred eighty-one".