457629 has 8 divisors (see below), whose sum is σ = 616512. Its totient is φ = 301920.

The previous prime is 457621. The next prime is 457643. The reversal of 457629 is 926754.

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

It is not a de Polignac number, because 457629 - 2³ = 457621 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 457629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (77064).

2⁴⁵⁷⁶²⁹ is an apocalyptic number.

It is an amenable number.

457629 is a deficient number, since it is larger than the sum of its proper divisors (158883).

457629 is a wasteful number, since it uses less digits than its factorization.

457629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587.

The product of its digits is 15120, while the sum is 33.

The square root of 457629 is about 676.4828157463. The cubic root of 457629 is about 77.0615687924.

The spelling of 457629 in words is "four hundred fifty-seven thousand, six hundred twenty-nine".