1461610000 has 50 divisors (see below), whose sum is σ = 3538728182. Its totient is φ = 584640000.

The previous prime is 1461609973. The next prime is 1461610013. The reversal of 1461610000 is 161641.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 397284624 + 1064325376 = 19932^2 + 32624^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 1461610000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63081 + ... + 83080.

Almost surely, 2^1461610000 is an apocalyptic number.

1461610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461610000 is an abundant number, since it is smaller than the sum of its proper divisors (2077118182).

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

1461610000 is an equidigital number, since it uses as much as digits as its factorization.

1461610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146189 (or 146168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1461610000 is about 38231.0083570915. The cubic root of 1461610000 is about 1134.8640408473.

Adding to 1461610000 its reverse (161641), we get a palindrome (1461771641).

The spelling of 1461610000 in words is "one billion, four hundred sixty-one million, six hundred ten thousand".