1461686004 has 18 divisors (see below), whose sum is σ = 3694817490. Its totient is φ = 487228656.

The previous prime is 1461685997. The next prime is 1461686011. The reversal of 1461686004 is 4006861641.

1461686004 is a `hidden beast` number, since 1 + 46 + 1 + 6 + 8 + 600 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1461685997) and next prime (1461686011).

It can be written as a sum of positive squares in only one way, i.e., 1197298404 + 264387600 = 34602^2 + 16260^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 40602389 = 1461686004 / (1 + 4 + 6 + 1 + 6 + 8 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 1461686004.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20301159 + ... + 20301230.

Almost surely, 2^1461686004 is an apocalyptic number.

It is an amenable number.

1461686004 is an abundant number, since it is smaller than the sum of its proper divisors (2233131486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1461686004 is a wasteful number, since it uses less digits than its factorization.

1461686004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40602399 (or 40602394 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1461686004 is about 38232.0023540489. The cubic root of 1461686004 is about 1134.8837115555.

The spelling of 1461686004 in words is "one billion, four hundred sixty-one million, six hundred eighty-six thousand, four".