1007463321 has 6 divisors (see below), whose sum is σ = 1455224810. Its totient is φ = 671642208.

The previous prime is 1007463313. The next prime is 1007463323. The reversal of 1007463321 is 1233647001.

1007463321 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 4 + 633 + 21 = 666.

1007463321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1007427600 + 35721 = 31740^2 + 189^2 .

It is not a de Polignac number, because 1007463321 - 2³ = 1007463313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007463323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55970176 + ... + 55970193.

Almost surely, 2^1007463321 is an apocalyptic number.

It is an amenable number.

1007463321 is a deficient number, since it is larger than the sum of its proper divisors (447761489).

1007463321 is a wasteful number, since it uses less digits than its factorization.

1007463321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111940375 (or 111940372 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1007463321 is about 31740.5627076774. The cubic root of 1007463321 is about 1002.4816101833.

The spelling of 1007463321 in words is "one billion, seven million, four hundred sixty-three thousand, three hundred twenty-one".