457682401 has 16 divisors (see below), whose sum is σ = 515922048. Its totient is φ = 402438400.

The previous prime is 457682387. The next prime is 457682441. The reversal of 457682401 is 104286754.

It is a cyclic number.

It is not a de Polignac number, because 457682401 - 2⁵ = 457682369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457682441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35865 + ... + 46921.

It is an arithmetic number, because the mean of its divisors is an integer number (32245128).

Almost surely, 2^457682401 is an apocalyptic number.

It is an amenable number.

457682401 is a deficient number, since it is larger than the sum of its proper divisors (58239647).

457682401 is a wasteful number, since it uses less digits than its factorization.

457682401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 457682401 is about 21393.5130588690. The cubic root of 457682401 is about 770.6456612928.

The spelling of 457682401 in words is "four hundred fifty-seven million, six hundred eighty-two thousand, four hundred one".