1480531200 has 216 divisors, whose sum is σ = 5056447200. Its totient is φ = 381050880.

The previous prime is 1480531181. The next prime is 1480531223. The reversal of 1480531200 is 21350841.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 555471 + ... + 558129.

Almost surely, 2^1480531200 is an apocalyptic number.

1480531200 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 1480531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528223600).

1480531200 is an abundant number, since it is smaller than the sum of its proper divisors (3575916000).

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

1480531200 is a wasteful number, since it uses less digits than its factorization.

1480531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1480531200 is about 38477.6714472173. The cubic root of 1480531200 is about 1139.7401685455.

The spelling of 1480531200 in words is "one billion, four hundred eighty million, five hundred thirty-one thousand, two hundred".