481367007 has 24 divisors (see below), whose sum is σ = 769212288. Its totient is φ = 287624400.

The previous prime is 481366993. The next prime is 481367057. The reversal of 481367007 is 700763184.

It is not a de Polignac number, because 481367007 - 2⁶ = 481366943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481367057) 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, 27213 + ... + 41270.

It is an arithmetic number, because the mean of its divisors is an integer number (32050512).

Almost surely, 2^481367007 is an apocalyptic number.

481367007 is a deficient number, since it is larger than the sum of its proper divisors (287845281).

481367007 is a wasteful number, since it uses less digits than its factorization.

481367007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68571 (or 68568 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 481367007 is about 21940.0776434360. The cubic root of 481367007 is about 783.7161086663.

The spelling of 481367007 in words is "four hundred eighty-one million, three hundred sixty-seven thousand, seven".