1480320 has 96 divisors (see below), whose sum is σ = 5131620. Its totient is φ = 393216.

The previous prime is 1480319. The next prime is 1480321. The reversal of 1480320 is 230841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1480319) and next prime (1480321).

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 97344 = 1176^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1480293 and 1480302.

It is not an unprimeable number, because it can be changed into a prime (1480321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5632 + ... + 5888.

2^1480320 is an apocalyptic number.

1480320 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 1480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565810).

1480320 is an abundant number, since it is smaller than the sum of its proper divisors (3651300).

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

1480320 is a wasteful number, since it uses less digits than its factorization.

1480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

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

The square root of 1480320 is about 1216.6840181411. The cubic root of 1480320 is about 113.9685970752.

The spelling of 1480320 in words is "one million, four hundred eighty thousand, three hundred twenty".