1007441461 has 16 divisors (see below), whose sum is σ = 1107933120. Its totient is φ = 910368000.

The previous prime is 1007441447. The next prime is 1007441473. The reversal of 1007441461 is 1641447001.

It is a cyclic number.

It is not a de Polignac number, because 1007441461 - 2⁹ = 1007440949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007441431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189901 + ... + 195133.

It is an arithmetic number, because the mean of its divisors is an integer number (69245820).

Almost surely, 2^1007441461 is an apocalyptic number.

It is an amenable number.

1007441461 is a deficient number, since it is larger than the sum of its proper divisors (100491659).

1007441461 is a wasteful number, since it uses less digits than its factorization.

1007441461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1007441461 is about 31740.2183514859. The cubic root of 1007441461 is about 1002.4743594954.

Adding to 1007441461 its reverse (1641447001), we get a palindrome (2648888462).

The spelling of 1007441461 in words is "one billion, seven million, four hundred forty-one thousand, four hundred sixty-one".