482413200 has 120 divisors (see below), whose sum is σ = 1566783648. Its totient is φ = 126858240.

The previous prime is 482413189. The next prime is 482413207. The reversal of 482413200 is 2314284.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (482413207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84847 + ... + 90353.

Almost surely, 2^482413200 is an apocalyptic number.

482413200 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 482413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783391824).

482413200 is an abundant number, since it is smaller than the sum of its proper divisors (1084370448).

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

482413200 is a wasteful number, since it uses less digits than its factorization.

482413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 482413200 is about 21963.9067563127. The cubic root of 482413200 is about 784.2834685762.

Adding to 482413200 its reverse (2314284), we get a palindrome (484727484).

The spelling of 482413200 in words is "four hundred eighty-two million, four hundred thirteen thousand, two hundred".