1460797440 has 144 divisors (see below), whose sum is σ = 4680825408. Its totient is φ = 389021696.

The previous prime is 1460797433. The next prime is 1460797447. The reversal of 1460797440 is 447970641.

It is an interprime number because it is at equal distance from previous prime (1460797433) and next prime (1460797447).

It is a junction number, because it is equal to n+sod(n) for n = 1460797392 and 1460797401.

It is not an unprimeable number, because it can be changed into a prime (1460797447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965709 + ... + 1966451.

It is an arithmetic number, because the mean of its divisors is an integer number (32505732).

Almost surely, 2^1460797440 is an apocalyptic number.

1460797440 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 1460797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340412704).

1460797440 is an abundant number, since it is smaller than the sum of its proper divisors (3220027968).

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

1460797440 is an frugal number, since it uses more digits than its factorization.

1460797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 1460797440 is about 38220.3799039204. The cubic root of 1460797440 is about 1134.6536983569.

The spelling of 1460797440 in words is "one billion, four hundred sixty million, seven hundred ninety-seven thousand, four hundred forty".