482364720 has 180 divisors, whose sum is σ = 1683991920. Its totient is φ = 128490624.

The previous prime is 482364689. The next prime is 482364739. The reversal of 482364720 is 27463284.

482364720 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 647 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524421 + ... + 525339.

Almost surely, 2^482364720 is an apocalyptic number.

482364720 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 482364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841995960).

482364720 is an abundant number, since it is smaller than the sum of its proper divisors (1201627200).

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

482364720 is an frugal number, since it uses more digits than its factorization.

482364720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 482364720 is about 21962.8030997867. The cubic root of 482364720 is about 784.2571955691.

The spelling of 482364720 in words is "four hundred eighty-two million, three hundred sixty-four thousand, seven hundred twenty".