480964481 has 8 divisors (see below), whose sum is σ = 494389224. Its totient is φ = 467620480.

The previous prime is 480964469. The next prime is 480964501. The reversal of 480964481 is 184469084.

It can be written as a sum of positive squares in 4 ways, for example, as 123565456 + 357399025 = 11116^2 + 18905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480964481 is a prime.

It is a super-3 number, since 3×480964481³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480964181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8006 + ... + 32031.

It is an arithmetic number, because the mean of its divisors is an integer number (61798653).

Almost surely, 2^480964481 is an apocalyptic number.

480964481 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

480964481 is a deficient number, since it is larger than the sum of its proper divisors (13424743).

480964481 is a wasteful number, since it uses less digits than its factorization.

480964481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40371.

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 480964481 is about 21930.9024210131. The cubic root of 480964481 is about 783.4975961944.

The spelling of 480964481 in words is "four hundred eighty million, nine hundred sixty-four thousand, four hundred eighty-one".