456231648 has 96 divisors (see below), whose sum is σ = 1265846400. Its totient is φ = 143479296.

The previous prime is 456231647. The next prime is 456231689. The reversal of 456231648 is 846132654.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456231647) 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 15 ways as a sum of consecutive naturals, for example, 709215 + ... + 709857.

It is an arithmetic number, because the mean of its divisors is an integer number (13185900).

Almost surely, 2^456231648 is an apocalyptic number.

456231648 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 456231648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632923200).

456231648 is an abundant number, since it is smaller than the sum of its proper divisors (809614752).

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

456231648 is a wasteful number, since it uses less digits than its factorization.

456231648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 456231648 is about 21359.5797711472. The cubic root of 456231648 is about 769.8305400964.

The spelling of 456231648 in words is "four hundred fifty-six million, two hundred thirty-one thousand, six hundred forty-eight".