1482205200 has 480 divisors, whose sum is σ = 5889623040. Its totient is φ = 311040000.

The previous prime is 1482205187. The next prime is 1482205211. The reversal of 1482205200 is 25022841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5905075 + ... + 5905325.

It is an arithmetic number, because the mean of its divisors is an integer number (12270048).

Almost surely, 2^1482205200 is an apocalyptic number.

1482205200 is a gapful number since it is divisible by the number (10) 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 1482205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944811520).

1482205200 is an abundant number, since it is smaller than the sum of its proper divisors (4407417840).

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

1482205200 is a wasteful number, since it uses less digits than its factorization.

1482205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1482205200 is about 38499.4181774219. The cubic root of 1482205200 is about 1140.1695654206.

The spelling of 1482205200 in words is "one billion, four hundred eighty-two million, two hundred five thousand, two hundred".