481376401 has 16 divisors (see below), whose sum is σ = 556743168. Its totient is φ = 412041600.

The previous prime is 481376393. The next prime is 481376431. The reversal of 481376401 is 104673184.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 481376401 - 2³ = 481376393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481376431) 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 15 ways as a sum of consecutive naturals, for example, 6460 + ... + 31693.

It is an arithmetic number, because the mean of its divisors is an integer number (34796448).

Almost surely, 2^481376401 is an apocalyptic number.

It is an amenable number.

481376401 is a deficient number, since it is larger than the sum of its proper divisors (75366767).

481376401 is a wasteful number, since it uses less digits than its factorization.

481376401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38232.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 481376401 is about 21940.2917254990. The cubic root of 481376401 is about 783.7212067731.

It can be divided in two parts, 481376 and 401, that multiplied together give a triangular number (193031776 = T₁₉₆₄₈).

The spelling of 481376401 in words is "four hundred eighty-one million, three hundred seventy-six thousand, four hundred one".