1480320000 has 330 divisors, whose sum is σ = 5362063278. Its totient is φ = 393216000.

The previous prime is 1480319989. The next prime is 1480320019. The reversal of 1480320000 is 230841.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 170459136 + 1309860864 = 13056^2 + 36192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759872 + ... + 5760128.

Almost surely, 2^1480320000 is an apocalyptic number.

1480320000 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 1480320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681031639).

1480320000 is an abundant number, since it is smaller than the sum of its proper divisors (3881743278).

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

1480320000 is an equidigital number, since it uses as much as digits as its factorization.

1480320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1480320000 is about 38474.9269005154. The cubic root of 1480320000 is about 1139.6859707525.

Adding to 1480320000 its reverse (230841), we get a palindrome (1480550841).

The spelling of 1480320000 in words is "one billion, four hundred eighty million, three hundred twenty thousand".