1456268640 has 192 divisors, whose sum is σ = 4776408000. Its totient is φ = 372506624.

The previous prime is 1456268591. The next prime is 1456268647. The reversal of 1456268640 is 468626541.

It is a junction number, because it is equal to n+sod(n) for n = 1456268592 and 1456268601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456268647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3243136 + ... + 3243584.

It is an arithmetic number, because the mean of its divisors is an integer number (24877125).

Almost surely, 2^1456268640 is an apocalyptic number.

1456268640 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 1456268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388204000).

1456268640 is an abundant number, since it is smaller than the sum of its proper divisors (3320139360).

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

1456268640 is a wasteful number, since it uses less digits than its factorization.

1456268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1456268640 is about 38161.0880348032. The cubic root of 1456268640 is about 1133.4799241372.

The spelling of 1456268640 in words is "one billion, four hundred fifty-six million, two hundred sixty-eight thousand, six hundred forty".