1456325472 has 144 divisors (see below), whose sum is σ = 4508974512. Its totient is φ = 410296320.

The previous prime is 1456325459. The next prime is 1456325543. The reversal of 1456325472 is 2745236541.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1456325472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341272 + ... + 345512.

It is an arithmetic number, because the mean of its divisors is an integer number (31312323).

Almost surely, 2^1456325472 is an apocalyptic number.

1456325472 is a gapful number since it is divisible by the number (12) 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 1456325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254487256).

1456325472 is an abundant number, since it is smaller than the sum of its proper divisors (3052649040).

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

1456325472 is a wasteful number, since it uses less digits than its factorization.

1456325472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4326 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 1456325472 is about 38161.8326603951. The cubic root of 1456325472 is about 1133.4946689197.

The spelling of 1456325472 in words is "one billion, four hundred fifty-six million, three hundred twenty-five thousand, four hundred seventy-two".