478925000 has 48 divisors (see below), whose sum is σ = 1122467220. Its totient is φ = 191560000.

The previous prime is 478924997. The next prime is 478925009. The reversal of 478925000 is 529874.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 180257476 + 298667524 = 13426^2 + 17282^2 .

It is not an unprimeable number, because it can be changed into a prime (478925009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15422 + ... + 34578.

Almost surely, 2^478925000 is an apocalyptic number.

478925000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561233610).

478925000 is an abundant number, since it is smaller than the sum of its proper divisors (643542220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478925000 is an equidigital number, since it uses as much as digits as its factorization.

478925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19188 (or 19164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 478925000 is about 21884.3551424299. The cubic root of 478925000 is about 782.3885798479.

The spelling of 478925000 in words is "four hundred seventy-eight million, nine hundred twenty-five thousand".