1461600000 has 648 divisors, whose sum is σ = 6227413920. Its totient is φ = 322560000.

The previous prime is 1461599999. The next prime is 1461600043. The reversal of 1461600000 is 61641.

1461600000 is a `hidden beast` number, since 1 + 4 + 61 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50399986 + ... + 50400014.

Almost surely, 2^1461600000 is an apocalyptic number.

1461600000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113706960).

1461600000 is an abundant number, since it is smaller than the sum of its proper divisors (4765813920).

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

1461600000 is an frugal number, since it uses more digits than its factorization.

1461600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1461600000 is about 38230.8775729776. The cubic root of 1461600000 is about 1134.8614526817.

Adding to 1461600000 its reverse (61641), we get a palindrome (1461661641).

The spelling of 1461600000 in words is "one billion, four hundred sixty-one million, six hundred thousand".