1460256000 has 576 divisors, whose sum is σ = 5785468416. Its totient is φ = 319488000.

The previous prime is 1460255989. The next prime is 1460256059. The reversal of 1460256000 is 6520641.

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

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, 27551974 + ... + 27552026.

It is an arithmetic number, because the mean of its divisors is an integer number (10044216).

Almost surely, 2^1460256000 is an apocalyptic number.

1460256000 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 1460256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892734208).

1460256000 is an abundant number, since it is smaller than the sum of its proper divisors (4325212416).

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

1460256000 is an equidigital number, since it uses as much as digits as its factorization.

1460256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1460256000 is about 38213.2961153575. The cubic root of 1460256000 is about 1134.5134957527.

Adding to 1460256000 its reverse (6520641), we get a palindrome (1466776641).

The spelling of 1460256000 in words is "one billion, four hundred sixty million, two hundred fifty-six thousand".