478807000 has 128 divisors (see below), whose sum is σ = 1299392640. Its totient is φ = 161740800.

The previous prime is 478806961. The next prime is 478807003. The reversal of 478807000 is 708874.

It is a super-2 number, since 2×478807000² = 458512286498000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478807003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510532 + ... + 511468.

It is an arithmetic number, because the mean of its divisors is an integer number (10151505).

Almost surely, 2^478807000 is an apocalyptic number.

478807000 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 478807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649696320).

478807000 is an abundant number, since it is smaller than the sum of its proper divisors (820585640).

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

478807000 is a wasteful number, since it uses less digits than its factorization.

478807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 478807000 is about 21881.6589864663. The cubic root of 478807000 is about 782.3243182650.

The spelling of 478807000 in words is "four hundred seventy-eight million, eight hundred seven thousand".