481766401 has 8 divisors (see below), whose sum is σ = 484611840. Its totient is φ = 478928352.

The previous prime is 481766399. The next prime is 481766423. The reversal of 481766401 is 104667184.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 481766401 - 2¹ = 481766399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481766431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176221 + ... + 178933.

It is an arithmetic number, because the mean of its divisors is an integer number (60576480).

Almost surely, 2^481766401 is an apocalyptic number.

It is an amenable number.

481766401 is a deficient number, since it is larger than the sum of its proper divisors (2845439).

481766401 is a wasteful number, since it uses less digits than its factorization.

481766401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 481766401 is about 21949.1776839134. The cubic root of 481766401 is about 783.9328005579.

The spelling of 481766401 in words is "four hundred eighty-one million, seven hundred sixty-six thousand, four hundred one".