1007441649 has 48 divisors (see below), whose sum is σ = 1521172224. Its totient is φ = 642096000.

The previous prime is 1007441647. The next prime is 1007441651. The reversal of 1007441649 is 9461447001.

1007441649 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 4 + 4 + 1 + 649 = 666.

1007441649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007441647) and next prime (1007441651).

It is not a de Polignac number, because 1007441649 - 2¹ = 1007441647 is a prime.

It is a super-2 number, since 2×1007441649² = 2029877352279678402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007441647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5113819 + ... + 5114015.

It is an arithmetic number, because the mean of its divisors is an integer number (31691088).

Almost surely, 2^1007441649 is an apocalyptic number.

It is an amenable number.

1007441649 is a deficient number, since it is larger than the sum of its proper divisors (513730575).

1007441649 is a wasteful number, since it uses less digits than its factorization.

1007441649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1007441649 is about 31740.2213130280. The cubic root of 1007441649 is about 1002.4744218531.

The spelling of 1007441649 in words is "one billion, seven million, four hundred forty-one thousand, six hundred forty-nine".