478753 has 8 divisors (see below), whose sum is σ = 530496. Its totient is φ = 428400.

The previous prime is 478747. The next prime is 478763. The reversal of 478753 is 357874.

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

It is a cyclic number.

It is not a de Polignac number, because 478753 - 2⁹ = 478241 is a prime.

It is a Duffinian number.

478753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (478763) 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, 475 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (66312).

2⁴⁷⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

478753 is a deficient number, since it is larger than the sum of its proper divisors (51743).

478753 is a wasteful number, since it uses less digits than its factorization.

478753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its digits is 23520, while the sum is 34.

The square root of 478753 is about 691.9197930396. The cubic root of 478753 is about 78.2294906901.

The spelling of 478753 in words is "four hundred seventy-eight thousand, seven hundred fifty-three".