1466430000 has 200 divisors, whose sum is σ = 5410867968. Its totient is φ = 335136000.

The previous prime is 1466429977. The next prime is 1466430001. The reversal of 1466430000 is 346641.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1466430001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 206509 + ... + 213491.

Almost surely, 2^1466430000 is an apocalyptic number.

1466430000 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 1466430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705433984).

1466430000 is an abundant number, since it is smaller than the sum of its proper divisors (3944437968).

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

1466430000 is an equidigital number, since it uses as much as digits as its factorization.

1466430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1466430000 is about 38293.9943072017. The cubic root of 1466430000 is about 1136.1101650420.

Adding to 1466430000 its reverse (346641), we get a palindrome (1466776641).

The spelling of 1466430000 in words is "one billion, four hundred sixty-six million, four hundred thirty thousand".