457457007 has 8 divisors (see below), whose sum is σ = 697077376. Its totient is φ = 261403992.

The previous prime is 457457003. The next prime is 457457009. The reversal of 457457007 is 700754754.

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

It is not a de Polignac number, because 457457007 - 2² = 457457003 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 (457457003) 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 7 ways as a sum of consecutive naturals, for example, 10891813 + ... + 10891854.

It is an arithmetic number, because the mean of its divisors is an integer number (87134672).

Almost surely, 2^457457007 is an apocalyptic number.

457457007 is a deficient number, since it is larger than the sum of its proper divisors (239620369).

457457007 is a wasteful number, since it uses less digits than its factorization.

457457007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21783677.

The product of its (nonzero) digits is 137200, while the sum is 39.

The square root of 457457007 is about 21388.2445983769. The cubic root of 457457007 is about 770.5191343756.

The spelling of 457457007 in words is "four hundred fifty-seven million, four hundred fifty-seven thousand, seven".