480015360 has 264 divisors, whose sum is σ = 1816360416. Its totient is φ = 116244480.

The previous prime is 480015343. The next prime is 480015391. The reversal of 480015360 is 63510084.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506407 + ... + 507353.

Almost surely, 2^480015360 is an apocalyptic number.

480015360 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 480015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908180208).

480015360 is an abundant number, since it is smaller than the sum of its proper divisors (1336345056).

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

480015360 is a wasteful number, since it uses less digits than its factorization.

480015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 480015360 is about 21909.2528398392. The cubic root of 480015360 is about 782.9818798623.

It can be divided in two parts, 48001 and 5360, that added together give a square (53361 = 231²).

The spelling of 480015360 in words is "four hundred eighty million, fifteen thousand, three hundred sixty".