1461516804 has 48 divisors (see below), whose sum is σ = 4133586240. Its totient is φ = 442883520.

The previous prime is 1461516781. The next prime is 1461516811. The reversal of 1461516804 is 4086151641.

1461516804 is a `hidden beast` number, since 1 + 4 + 61 + 516 + 80 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613929 + ... + 616304.

It is an arithmetic number, because the mean of its divisors is an integer number (86116380).

Almost surely, 2^1461516804 is an apocalyptic number.

It is an amenable number.

1461516804 is an abundant number, since it is smaller than the sum of its proper divisors (2672069436).

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

1461516804 is a wasteful number, since it uses less digits than its factorization.

1461516804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230257 (or 1230249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1461516804 is about 38229.7894841183. The cubic root of 1461516804 is about 1134.8399197212.

The spelling of 1461516804 in words is "one billion, four hundred sixty-one million, five hundred sixteen thousand, eight hundred four".