478900224 has 156 divisors (see below), whose sum is σ = 1510354872. Its totient is φ = 144998400.

The previous prime is 478900223. The next prime is 478900259. The reversal of 478900224 is 422009874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478900223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404914 + ... + 406094.

It is an arithmetic number, because the mean of its divisors is an integer number (9681762).

Almost surely, 2^478900224 is an apocalyptic number.

478900224 is a gapful number since it is divisible by the number (44) 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 478900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755177436).

478900224 is an abundant number, since it is smaller than the sum of its proper divisors (1031454648).

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

478900224 is a wasteful number, since it uses less digits than its factorization.

478900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 478900224 is about 21883.7890686234. The cubic root of 478900224 is about 782.3750879694.

The spelling of 478900224 in words is "four hundred seventy-eight million, nine hundred thousand, two hundred twenty-four".