457442007 has 8 divisors (see below), whose sum is σ = 665370240. Its totient is φ = 277237560.

The previous prime is 457441997. The next prime is 457442021. The reversal of 457442007 is 700244754.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 457442007 - 2¹¹ = 457439959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 13861879 = 457442007 / (4 + 5 + 7 + 4 + 4 + 2 + 0 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457442047) 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 7 ways as a sum of consecutive naturals, for example, 6930907 + ... + 6930972.

It is an arithmetic number, because the mean of its divisors is an integer number (83171280).

Almost surely, 2^457442007 is an apocalyptic number.

457442007 is a deficient number, since it is larger than the sum of its proper divisors (207928233).

457442007 is a wasteful number, since it uses less digits than its factorization.

457442007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13861893.

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 457442007 is about 21387.8939355889. The cubic root of 457442007 is about 770.5107125180.

The spelling of 457442007 in words is "four hundred fifty-seven million, four hundred forty-two thousand, seven".