1407680145 has 12 divisors (see below), whose sum is σ = 2439978996. Its totient is φ = 750762720.

The previous prime is 1407680137. The next prime is 1407680149. The reversal of 1407680145 is 5410867041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1095345216 + 312334929 = 33096^2 + 17673^2 .

It is not a de Polignac number, because 1407680145 - 2³ = 1407680137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1407680149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15640846 + ... + 15640935.

It is an arithmetic number, because the mean of its divisors is an integer number (203331583).

Almost surely, 2^1407680145 is an apocalyptic number.

1407680145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1407680145 is a deficient number, since it is larger than the sum of its proper divisors (1032298851).

1407680145 is a wasteful number, since it uses less digits than its factorization.

1407680145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31281792 (or 31281789 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1407680145 is about 37519.0637543103. The cubic root of 1407680145 is about 1120.7308540268.

The spelling of 1407680145 in words is "one billion, four hundred seven million, six hundred eighty thousand, one hundred forty-five".