1461413304 has 72 divisors (see below), whose sum is σ = 4285911240. Its totient is φ = 449661888.

The previous prime is 1461413273. The next prime is 1461413311. The reversal of 1461413304 is 4033141641.

1461413304 is a `hidden beast` number, since 1 + 4 + 614 + 13 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47884 + ... + 72219.

It is an arithmetic number, because the mean of its divisors is an integer number (59526545).

Almost surely, 2^1461413304 is an apocalyptic number.

It is an amenable number.

1461413304 is an abundant number, since it is smaller than the sum of its proper divisors (2824497936).

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

1461413304 is a wasteful number, since it uses less digits than its factorization.

1461413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120141 (or 120121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1461413304 is about 38228.4358037312. The cubic root of 1461413304 is about 1134.8131304969.

Adding to 1461413304 its reverse (4033141641), we get a palindrome (5494554945).

The spelling of 1461413304 in words is "one billion, four hundred sixty-one million, four hundred thirteen thousand, three hundred four".