478641825 has 48 divisors (see below), whose sum is σ = 925585600. Its totient is φ = 241833600.

The previous prime is 478641811. The next prime is 478641833. The reversal of 478641825 is 528146874.

It is not a de Polignac number, because 478641825 - 2⁷ = 478641697 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5836 + ... + 31485.

Almost surely, 2^478641825 is an apocalyptic number.

478641825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478641825 is a deficient number, since it is larger than the sum of its proper divisors (446943775).

478641825 is a wasteful number, since it uses less digits than its factorization.

478641825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37359 (or 37348 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 478641825 is about 21877.8843812650. The cubic root of 478641825 is about 782.2343479282.

The spelling of 478641825 in words is "four hundred seventy-eight million, six hundred forty-one thousand, eight hundred twenty-five".