478465 has 16 divisors (see below), whose sum is σ = 656208. Its totient is φ = 331776.

The previous prime is 478459. The next prime is 478481. The reversal of 478465 is 564874.

It can be written as a sum of positive squares in 8 ways, for example, as 53361 + 425104 = 231^2 + 652^2 .

It is a 4-Lehmer number, since φ(478465) divides (478465-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 478465 - 2⁵ = 478433 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 478465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁴⁷⁸⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

478465 is a deficient number, since it is larger than the sum of its proper divisors (177743).

478465 is a wasteful number, since it uses less digits than its factorization.

478465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468.

The product of its digits is 26880, while the sum is 34.

The square root of 478465 is about 691.7116451239. The cubic root of 478465 is about 78.2138008928.

The spelling of 478465 in words is "four hundred seventy-eight thousand, four hundred sixty-five".