457307268 has 48 divisors (see below), whose sum is σ = 1168292160. Its totient is φ = 138073600.

The previous prime is 457307243. The next prime is 457307269. The reversal of 457307268 is 862703754.

It is not an unprimeable number, because it can be changed into a prime (457307269) 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, 30928 + ... + 43256.

It is an arithmetic number, because the mean of its divisors is an integer number (24339420).

Almost surely, 2^457307268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457307268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584146080).

457307268 is an abundant number, since it is smaller than the sum of its proper divisors (710984892).

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

457307268 is a wasteful number, since it uses less digits than its factorization.

457307268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 457307268 is about 21384.7438142242. The cubic root of 457307268 is about 770.4350540840.

The spelling of 457307268 in words is "four hundred fifty-seven million, three hundred seven thousand, two hundred sixty-eight".