482993280 has 640 divisors, whose sum is σ = 2168242560. Its totient is φ = 100362240.

The previous prime is 482993249. The next prime is 482993311. The reversal of 482993280 is 82399284.

482993280 is a `hidden beast` number, since 482 + 9 + 93 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (482993249) and next prime (482993311).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43908475 + ... + 43908485.

It is an arithmetic number, because the mean of its divisors is an integer number (3387879).

Almost surely, 2^482993280 is an apocalyptic number.

482993280 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 482993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084121280).

482993280 is an abundant number, since it is smaller than the sum of its proper divisors (1685249280).

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

482993280 is an equidigital number, since it uses as much as digits as its factorization.

482993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 482993280 is about 21977.1080900104. The cubic root of 482993280 is about 784.5976977647.

The spelling of 482993280 in words is "four hundred eighty-two million, nine hundred ninety-three thousand, two hundred eighty".