479971200 has 288 divisors, whose sum is σ = 1689077160. Its totient is φ = 119767040.

The previous prime is 479971187. The next prime is 479971201. The reversal of 479971200 is 2179974.

479971200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479971201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2774314 + ... + 2774486.

Almost surely, 2^479971200 is an apocalyptic number.

479971200 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 479971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844538580).

479971200 is an abundant number, since it is smaller than the sum of its proper divisors (1209105960).

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

479971200 is a wasteful number, since it uses less digits than its factorization.

479971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 479971200 is about 21908.2450232783. The cubic root of 479971200 is about 782.9578684500.

The spelling of 479971200 in words is "four hundred seventy-nine million, nine hundred seventy-one thousand, two hundred".