1480608000 has 432 divisors, whose sum is σ = 5484141936. Its totient is φ = 383385600.

The previous prime is 1480607993. The next prime is 1480608007. The reversal of 1480608000 is 8060841.

It is an interprime number because it is at equal distance from previous prime (1480607993) and next prime (1480608007).

It can be written as a sum of positive squares in 8 ways, for example, as 361304064 + 1119303936 = 19008^2 + 33456^2 .

It is not an unprimeable number, because it can be changed into a prime (1480608007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15263952 + ... + 15264048.

It is an arithmetic number, because the mean of its divisors is an integer number (12694773).

Almost surely, 2^1480608000 is an apocalyptic number.

1480608000 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 1480608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742070968).

1480608000 is an abundant number, since it is smaller than the sum of its proper divisors (4003533936).

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

1480608000 is an equidigital number, since it uses as much as digits as its factorization.

1480608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1480608000 is about 38478.6694156646. The cubic root of 1480608000 is about 1139.7598755559.

Adding to 1480608000 its reverse (8060841), we get a palindrome (1488668841).

The spelling of 1480608000 in words is "one billion, four hundred eighty million, six hundred eight thousand".