1456752960 has 504 divisors, whose sum is σ = 5634176184. Its totient is φ = 345047040.

The previous prime is 1456752953. The next prime is 1456752977. The reversal of 1456752960 is 692576541.

1456752960 is a `hidden beast` number, since 1 + 4 + 5 + 67 + 529 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1159811136 + 296941824 = 34056^2 + 17232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19955484 + ... + 19955556.

It is an arithmetic number, because the mean of its divisors is an integer number (11178921).

Almost surely, 2^1456752960 is an apocalyptic number.

1456752960 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 1456752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817088092).

1456752960 is an abundant number, since it is smaller than the sum of its proper divisors (4177423224).

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

1456752960 is a wasteful number, since it uses less digits than its factorization.

1456752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1456752960 is about 38167.4332382989. The cubic root of 1456752960 is about 1133.6055662830.

The spelling of 1456752960 in words is "one billion, four hundred fifty-six million, seven hundred fifty-two thousand, nine hundred sixty".