456075648 has 192 divisors, whose sum is σ = 1565740800. Its totient is φ = 124591104.

The previous prime is 456075637. The next prime is 456075649. The reversal of 456075648 is 846570654.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456075649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184243 + ... + 186701.

It is an arithmetic number, because the mean of its divisors is an integer number (8154900).

Almost surely, 2^456075648 is an apocalyptic number.

456075648 is a gapful number since it is divisible by the number (48) 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 456075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782870400).

456075648 is an abundant number, since it is smaller than the sum of its proper divisors (1109665152).

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

456075648 is a wasteful number, since it uses less digits than its factorization.

456075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 456075648 is about 21355.9277016944. The cubic root of 456075648 is about 769.7427869741.

It can be divided in two parts, 4560 and 75648, that added together give a palindrome (80208).

The spelling of 456075648 in words is "four hundred fifty-six million, seventy-five thousand, six hundred forty-eight".