457980993 has 16 divisors (see below), whose sum is σ = 681462400. Its totient is φ = 303983280.

The previous prime is 457980989. The next prime is 457981009. The reversal of 457980993 is 399089754.

It is not a de Polignac number, because 457980993 - 2² = 457980989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (457980983) 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, 30853 + ... + 43218.

It is an arithmetic number, because the mean of its divisors is an integer number (42591400).

Almost surely, 2^457980993 is an apocalyptic number.

It is an amenable number.

457980993 is a deficient number, since it is larger than the sum of its proper divisors (223481407).

457980993 is a wasteful number, since it uses less digits than its factorization.

457980993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74309 (or 74303 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 457980993 is about 21400.4904850333. The cubic root of 457980993 is about 770.8132146048.

The spelling of 457980993 in words is "four hundred fifty-seven million, nine hundred eighty thousand, nine hundred ninety-three".