482245920 has 384 divisors, whose sum is σ = 1883105280. Its totient is φ = 114462720.

The previous prime is 482245913. The next prime is 482245921. The reversal of 482245920 is 29542284.

482245920 is a `hidden beast` number, since 48 + 2 + 24 + 592 + 0 = 666.

It is a super-3 number, since 3×482245920³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (482245921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740822 + ... + 1741098.

It is an arithmetic number, because the mean of its divisors is an integer number (4903920).

Almost surely, 2^482245920 is an apocalyptic number.

482245920 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 482245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941552640).

482245920 is an abundant number, since it is smaller than the sum of its proper divisors (1400859360).

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

482245920 is a wasteful number, since it uses less digits than its factorization.

482245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 482245920 is about 21960.0983604355. The cubic root of 482245920 is about 784.1928062521.

The spelling of 482245920 in words is "four hundred eighty-two million, two hundred forty-five thousand, nine hundred twenty".