480966240 has 96 divisors (see below), whose sum is σ = 1563964416. Its totient is φ = 124116480.

The previous prime is 480966221. The next prime is 480966251. The reversal of 480966240 is 42669084.

480966240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480966240³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 31041.

It is an arithmetic number, because the mean of its divisors is an integer number (16291296).

Almost surely, 2^480966240 is an apocalyptic number.

480966240 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 480966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781982208).

480966240 is an abundant number, since it is smaller than the sum of its proper divisors (1082998176).

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

480966240 is a wasteful number, since it uses less digits than its factorization.

480966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32372 (or 32364 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 480966240 is about 21930.9425242054. The cubic root of 480966240 is about 783.4985513381.

The spelling of 480966240 in words is "four hundred eighty million, nine hundred sixty-six thousand, two hundred forty".