478953 has 18 divisors (see below), whose sum is σ = 728234. Its totient is φ = 314928.

The previous prime is 478943. The next prime is 478963. The reversal of 478953 is 359874.

It can be divided in two parts, 478 and 953, that added together give a triangular number (1431 = T₅₃).

It is an interprime number because it is at equal distance from previous prime (478943) and next prime (478963).

It can be written as a sum of positive squares in only one way, i.e., 419904 + 59049 = 648^2 + 243^2 .

It is not a de Polignac number, because 478953 - 2⁴ = 478937 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (478913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6525 + ... + 6597.

478953 is a Friedman number, since it can be written as (9*5+7*4)*3^8, using all its digits and the basic arithmetic operations.

2⁴⁷⁸⁹⁵³ is an apocalyptic number.

478953 is the 438-th heptagonal number.

It is an amenable number.

478953 is a deficient number, since it is larger than the sum of its proper divisors (249281).

478953 is an frugal number, since it uses more digits than its factorization.

478953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 478953 is about 692.0643033707. The cubic root of 478953 is about 78.2403826810.

The spelling of 478953 in words is "four hundred seventy-eight thousand, nine hundred fifty-three".