1461913200 has 720 divisors, whose sum is σ = 6116572800. Its totient is φ = 319334400.

The previous prime is 1461913169. The next prime is 1461913213. The reversal of 1461913200 is 23191641.

1461913200 is a `hidden beast` number, since 14 + 619 + 1 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21819567 + ... + 21819633.

It is an arithmetic number, because the mean of its divisors is an integer number (8495240).

Almost surely, 2^1461913200 is an apocalyptic number.

1461913200 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 1461913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058286400).

1461913200 is an abundant number, since it is smaller than the sum of its proper divisors (4654659600).

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

1461913200 is a wasteful number, since it uses less digits than its factorization.

1461913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1461913200 is about 38234.9735190179. The cubic root of 1461913200 is about 1134.9425084246.

The spelling of 1461913200 in words is "one billion, four hundred sixty-one million, nine hundred thirteen thousand, two hundred".