1456745472 has 440 divisors, whose sum is σ = 5381743136. Its totient is φ = 382205952.

The previous prime is 1456745461. The next prime is 1456745473. The reversal of 1456745472 is 2745476541.

1456745472 is a `hidden beast` number, since 1 + 4 + 567 + 45 + 47 + 2 = 666.

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

Its product of digits (940800) is a multiple of the sum of its prime factors (245).

It is not an unprimeable number, because it can be changed into a prime (1456745473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547808 + ... + 7548000.

Almost surely, 2^1456745472 is an apocalyptic number.

1456745472 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 1456745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690871568).

1456745472 is an abundant number, since it is smaller than the sum of its proper divisors (3924997664).

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

1456745472 is a wasteful number, since it uses less digits than its factorization.

1456745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 1456745472 is about 38167.3351440731. The cubic root of 1456745472 is about 1133.6036239603.

The spelling of 1456745472 in words is "one billion, four hundred fifty-six million, seven hundred forty-five thousand, four hundred seventy-two".