480319200 has 288 divisors, whose sum is σ = 1787073120. Its totient is φ = 124416000.

The previous prime is 480319129. The next prime is 480319243. The reversal of 480319200 is 2913084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×480319200³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798900 + ... + 799500.

It is an arithmetic number, because the mean of its divisors is an integer number (6205115).

Almost surely, 2^480319200 is an apocalyptic number.

480319200 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 480319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893536560).

480319200 is an abundant number, since it is smaller than the sum of its proper divisors (1306753920).

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

480319200 is a wasteful number, since it uses less digits than its factorization.

480319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480319200 is about 21916.1857995409. The cubic root of 480319200 is about 783.1470489078.

The spelling of 480319200 in words is "four hundred eighty million, three hundred nineteen thousand, two hundred".