480027600 has 360 divisors, whose sum is σ = 1857113280. Its totient is φ = 117711360.

The previous prime is 480027577. The next prime is 480027617. The reversal of 480027600 is 6720084.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1825069 + ... + 1825331.

It is an arithmetic number, because the mean of its divisors is an integer number (5158648).

Almost surely, 2^480027600 is an apocalyptic number.

480027600 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 480027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928556640).

480027600 is an abundant number, since it is smaller than the sum of its proper divisors (1377085680).

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

480027600 is a wasteful number, since it uses less digits than its factorization.

480027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480027600 is about 21909.5321720935. The cubic root of 480027600 is about 782.9885349388.

Adding to 480027600 its reverse (6720084), we get a palindrome (486747684).

It can be divided in two parts, 4800 and 27600, that added together give a square (32400 = 180²).

The spelling of 480027600 in words is "four hundred eighty million, twenty-seven thousand, six hundred".