457746320 has 20 divisors (see below), whose sum is σ = 1064260380. Its totient is φ = 183098496.

The previous prime is 457746307. The next prime is 457746323. The reversal of 457746320 is 23647754.

It can be written as a sum of positive squares in 2 ways, for example, as 220463104 + 237283216 = 14848^2 + 15404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (457746323) 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 3 ways as a sum of consecutive naturals, for example, 2860835 + ... + 2860994.

It is an arithmetic number, because the mean of its divisors is an integer number (53213019).

Almost surely, 2^457746320 is an apocalyptic number.

457746320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457746320 is an abundant number, since it is smaller than the sum of its proper divisors (606514060).

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

457746320 is a wasteful number, since it uses less digits than its factorization.

457746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721842 (or 5721836 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 457746320 is about 21395.0068941330. The cubic root of 457746320 is about 770.6815352285.

The spelling of 457746320 in words is "four hundred fifty-seven million, seven hundred forty-six thousand, three hundred twenty".