457339968 has 168 divisors, whose sum is σ = 1360846656. Its totient is φ = 146764800.

The previous prime is 457339913. The next prime is 457339973. The reversal of 457339968 is 869933754.

457339968 is a `hidden beast` number, since 4 + 573 + 3 + 9 + 9 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167383 + ... + 2167593.

Almost surely, 2^457339968 is an apocalyptic number.

457339968 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 457339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680423328).

457339968 is an abundant number, since it is smaller than the sum of its proper divisors (903506688).

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

457339968 is a wasteful number, since it uses less digits than its factorization.

457339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 457339968 is about 21385.5083643106. The cubic root of 457339968 is about 770.4534171027.

The spelling of 457339968 in words is "four hundred fifty-seven million, three hundred thirty-nine thousand, nine hundred sixty-eight".