1004086461 has 16 divisors (see below), whose sum is σ = 1530589184. Its totient is φ = 573556464.

The previous prime is 1004086423. The next prime is 1004086471. The reversal of 1004086461 is 1646804001.

It is not a de Polignac number, because 1004086461 - 2⁹ = 1004085949 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 (1004086471) 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, 65820 + ... + 79626.

It is an arithmetic number, because the mean of its divisors is an integer number (95661824).

Almost surely, 2^1004086461 is an apocalyptic number.

It is an amenable number.

1004086461 is a deficient number, since it is larger than the sum of its proper divisors (526502723).

1004086461 is a wasteful number, since it uses less digits than its factorization.

1004086461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17280.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1004086461 is about 31687.3233486200. The cubic root of 1004086461 is about 1001.3603024050.

The spelling of 1004086461 in words is "one billion, four million, eighty-six thousand, four hundred sixty-one".