482281800 has 576 divisors, whose sum is σ = 2050285440. Its totient is φ = 91238400.

The previous prime is 482281783. The next prime is 482281817. The reversal of 482281800 is 8182284.

482281800 = 1765² + 1766² + ... + 1907².

It is an interprime number because it is at equal distance from previous prime (482281783) and next prime (482281817).

It is a super-2 number, since 2×482281800² = 465191469222480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6606564 + ... + 6606636.

Almost surely, 2^482281800 is an apocalyptic number.

482281800 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 482281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025142720).

482281800 is an abundant number, since it is smaller than the sum of its proper divisors (1568003640).

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

482281800 is a wasteful number, since it uses less digits than its factorization.

482281800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 482281800 is about 21960.9152814722. The cubic root of 482281800 is about 784.2122542411.

It can be divided in two parts, 482 and 281800, that added together give a palindrome (282282).

The spelling of 482281800 in words is "four hundred eighty-two million, two hundred eighty-one thousand, eight hundred".