457285101 has 72 divisors (see below), whose sum is σ = 781073280. Its totient is φ = 237129984.

The previous prime is 457285099. The next prime is 457285111. The reversal of 457285101 is 101582754.

It is not a de Polignac number, because 457285101 - 2¹ = 457285099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457285111) 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 71 ways as a sum of consecutive naturals, for example, 1962481 + ... + 1962713.

It is an arithmetic number, because the mean of its divisors is an integer number (10848240).

Almost surely, 2^457285101 is an apocalyptic number.

It is an amenable number.

457285101 is a deficient number, since it is larger than the sum of its proper divisors (323788179).

457285101 is a wasteful number, since it uses less digits than its factorization.

457285101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 457285101 is about 21384.2255178905. The cubic root of 457285101 is about 770.4226054811.

The spelling of 457285101 in words is "four hundred fifty-seven million, two hundred eighty-five thousand, one hundred one".