482986800 has 180 divisors, whose sum is σ = 1738525880. Its totient is φ = 128770560.

The previous prime is 482986799. The next prime is 482986817. The reversal of 482986800 is 8689284.

It is a happy number.

482986800 is a `hidden beast` number, since 482 + 98 + 6 + 80 + 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94716 + ... + 99684.

Almost surely, 2^482986800 is an apocalyptic number.

482986800 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 482986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869262940).

482986800 is an abundant number, since it is smaller than the sum of its proper divisors (1255539080).

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

482986800 is a wasteful number, since it uses less digits than its factorization.

482986800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 482986800 is about 21976.9606633856. The cubic root of 482986800 is about 784.5941889403.

The spelling of 482986800 in words is "four hundred eighty-two million, nine hundred eighty-six thousand, eight hundred".