1460214000 has 320 divisors, whose sum is σ = 5979617280. Its totient is φ = 333676800.

The previous prime is 1460213999. The next prime is 1460214017. The reversal of 1460214000 is 4120641.

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 63 ways as a sum of consecutive naturals, for example, 376069 + ... + 379931.

It is an arithmetic number, because the mean of its divisors is an integer number (18686304).

Almost surely, 2^1460214000 is an apocalyptic number.

1460214000 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 1460214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989808640).

1460214000 is an abundant number, since it is smaller than the sum of its proper divisors (4519403280).

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

1460214000 is a wasteful number, since it uses less digits than its factorization.

1460214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1460214000 is about 38212.7465644646. The cubic root of 1460214000 is about 1134.5026186591.

Adding to 1460214000 its reverse (4120641), we get a palindrome (1464334641).

The spelling of 1460214000 in words is "one billion, four hundred sixty million, two hundred fourteen thousand".