1456742240 has 96 divisors (see below), whose sum is σ = 3671166240. Its totient is φ = 544333824.

The previous prime is 1456742233. The next prime is 1456742249. The reversal of 1456742240 is 422476541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1456742240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456742249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376154 + ... + 380006.

It is an arithmetic number, because the mean of its divisors is an integer number (38241315).

Almost surely, 2^1456742240 is an apocalyptic number.

1456742240 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 1456742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835583120).

1456742240 is an abundant number, since it is smaller than the sum of its proper divisors (2214424000).

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

1456742240 is a wasteful number, since it uses less digits than its factorization.

1456742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 1456742240 is about 38167.2928041799. The cubic root of 1456742240 is about 1133.6027856053.

The spelling of 1456742240 in words is "one billion, four hundred fifty-six million, seven hundred forty-two thousand, two hundred forty".