480591360 has 320 divisors, whose sum is σ = 1811937600. Its totient is φ = 120324096.

The previous prime is 480591341. The next prime is 480591379. The reversal of 480591360 is 63195084.

480591360 is a `hidden beast` number, since 4 + 8 + 0 + 591 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (480591341) and next prime (480591379).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×480591360³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174836 + ... + 1175244.

It is an arithmetic number, because the mean of its divisors is an integer number (5662305).

Almost surely, 2^480591360 is an apocalyptic number.

480591360 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 480591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905968800).

480591360 is an abundant number, since it is smaller than the sum of its proper divisors (1331346240).

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

480591360 is a wasteful number, since it uses less digits than its factorization.

480591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 480591360 is about 21922.3940298499. The cubic root of 480591360 is about 783.2949374068.

The spelling of 480591360 in words is "four hundred eighty million, five hundred ninety-one thousand, three hundred sixty".