458728601 has 16 divisors (see below), whose sum is σ = 487373568. Its totient is φ = 431338320.

The previous prime is 458728591. The next prime is 458728619. The reversal of 458728601 is 106827854.

It is not a de Polignac number, because 458728601 - 2¹⁸ = 458466457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458728651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7520111 + ... + 7520171.

It is an arithmetic number, because the mean of its divisors is an integer number (30460848).

Almost surely, 2^458728601 is an apocalyptic number.

It is an amenable number.

458728601 is a deficient number, since it is larger than the sum of its proper divisors (28644967).

458728601 is an frugal number, since it uses more digits than its factorization.

458728601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 458728601 is about 21417.9504388258. The cubic root of 458728601 is about 771.2324116553.

The spelling of 458728601 in words is "four hundred fifty-eight million, seven hundred twenty-eight thousand, six hundred one".