482724000 has 576 divisors, whose sum is σ = 1986985728. Its totient is φ = 109824000.

The previous prime is 482723987. The next prime is 482724007. The reversal of 482724000 is 427284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482724007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9107974 + ... + 9108026.

It is an arithmetic number, because the mean of its divisors is an integer number (3449628).

Almost surely, 2^482724000 is an apocalyptic number.

482724000 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 482724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993492864).

482724000 is an abundant number, since it is smaller than the sum of its proper divisors (1504261728).

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

482724000 is a wasteful number, since it uses less digits than its factorization.

482724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 482724000 is about 21970.9808611268. The cubic root of 482724000 is about 784.4518601635.

The spelling of 482724000 in words is "four hundred eighty-two million, seven hundred twenty-four thousand".