1460053000 has 192 divisors, whose sum is σ = 4033411200. Its totient is φ = 493180800.

The previous prime is 1460052989. The next prime is 1460053013. The reversal of 1460053000 is 3500641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4066821 + ... + 4067179.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^1460053000 is an apocalyptic number.

1460053000 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 1460053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

1460053000 is an abundant number, since it is smaller than the sum of its proper divisors (2573358200).

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

1460053000 is a wasteful number, since it uses less digits than its factorization.

1460053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1460053000 is about 38210.6398794891. The cubic root of 1460053000 is about 1134.4609212012.

Adding to 1460053000 its reverse (3500641), we get a palindrome (1463553641).

It can be divided in two parts, 14600 and 53000, that added together give a square (67600 = 260²).

The spelling of 1460053000 in words is "one billion, four hundred sixty million, fifty-three thousand".