1456313040 has 640 divisors, whose sum is σ = 6399590400. Its totient is φ = 296110080.

The previous prime is 1456313017. The next prime is 1456313051. The reversal of 1456313040 is 403136541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1456312995 and 1456313013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6093241 + ... + 6093479.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^1456313040 is an apocalyptic number.

1456313040 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 1456313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199795200).

1456313040 is an abundant number, since it is smaller than the sum of its proper divisors (4943277360).

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

1456313040 is a wasteful number, since it uses less digits than its factorization.

1456313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1456313040 is about 38161.6697747884. The cubic root of 1456313040 is about 1133.4914435313.

Adding to 1456313040 its reverse (403136541), we get a palindrome (1859449581).

The spelling of 1456313040 in words is "one billion, four hundred fifty-six million, three hundred thirteen thousand, forty".