1460230200 has 768 divisors, whose sum is σ = 6199603200. Its totient is φ = 311040000.

The previous prime is 1460230159. The next prime is 1460230217. The reversal of 1460230200 is 20320641.

It is a happy number.

1460230200 is a `hidden beast` number, since 1 + 460 + 2 + 3 + 0 + 200 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23938170 + ... + 23938230.

It is an arithmetic number, because the mean of its divisors is an integer number (8072400).

Almost surely, 2^1460230200 is an apocalyptic number.

1460230200 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 1460230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099801600).

1460230200 is an abundant number, since it is smaller than the sum of its proper divisors (4739373000).

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

1460230200 is a wasteful number, since it uses less digits than its factorization.

1460230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1460230200 is about 38212.9585350310. The cubic root of 1460230200 is about 1134.5068141342.

Adding to 1460230200 its reverse (20320641), we get a palindrome (1480550841).

The spelling of 1460230200 in words is "one billion, four hundred sixty million, two hundred thirty thousand, two hundred".