1480084200 has 432 divisors, whose sum is σ = 5875522380. Its totient is φ = 332881920.

The previous prime is 1480084171. The next prime is 1480084237. The reversal of 1480084200 is 24800841.

It can be written as a sum of positive squares in 6 ways, for example, as 847159236 + 632924964 = 29106^2 + 25158^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8555314 + ... + 8555486.

Almost surely, 2^1480084200 is an apocalyptic number.

1480084200 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 1480084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937761190).

1480084200 is an abundant number, since it is smaller than the sum of its proper divisors (4395438180).

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

1480084200 is a wasteful number, since it uses less digits than its factorization.

1480084200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1480084200 is about 38471.8624451689. The cubic root of 1480084200 is about 1139.6254540574.

The spelling of 1480084200 in words is "one billion, four hundred eighty million, eighty-four thousand, two hundred".