478059000 has 128 divisors (see below), whose sum is σ = 1570233600. Its totient is φ = 120758400.

The previous prime is 478058963. The next prime is 478059037. The reversal of 478059000 is 950874.

It is an interprime number because it is at equal distance from previous prime (478058963) and next prime (478059037).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52807 + ... + 61193.

It is an arithmetic number, because the mean of its divisors is an integer number (12267450).

Almost surely, 2^478059000 is an apocalyptic number.

478059000 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 478059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785116800).

478059000 is an abundant number, since it is smaller than the sum of its proper divisors (1092174600).

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

478059000 is a wasteful number, since it uses less digits than its factorization.

478059000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 478059000 is about 21864.5603660353. The cubic root of 478059000 is about 781.9167193926.

The spelling of 478059000 in words is "four hundred seventy-eight million, fifty-nine thousand".