478953225 has 27 divisors (see below), whose sum is σ = 858446823. Its totient is φ = 255266640.

The previous prime is 478953203. The next prime is 478953227. The reversal of 478953225 is 522359874.

The square root of 478953225 is 21885.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 172423161 + 306530064 = 13131^2 + 17508^2 .

It is not a de Polignac number, because 478953225 - 2²¹ = 476856073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478953227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327546 + ... + 329004.

Almost surely, 2^478953225 is an apocalyptic number.

478953225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

478953225 is the 21885-th square number.

478953225 is the 10943-rd centered octagonal number.

It is an amenable number.

478953225 is a deficient number, since it is larger than the sum of its proper divisors (379493598).

478953225 is an equidigital number, since it uses as much as digits as its factorization.

478953225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 1467 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 478953225 is about 782.4039493274.

The spelling of 478953225 in words is "four hundred seventy-eight million, nine hundred fifty-three thousand, two hundred twenty-five".