1528480 has 48 divisors (see below), whose sum is σ = 3714984. Its totient is φ = 593920.

The previous prime is 1528469. The next prime is 1528529. The reversal of 1528480 is 848251.

It can be written as a sum of positive squares in 4 ways, for example, as 583696 + 944784 = 764^2 + 972^2 .

It is a super-2 number, since 2×1528480² = 4672502220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6444 + ... + 6676.

2^1528480 is an apocalyptic number.

1528480 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 1528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492).

1528480 is an abundant number, since it is smaller than the sum of its proper divisors (2186504).

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

1528480 is a wasteful number, since it uses less digits than its factorization.

1528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1528480 is about 1236.3171114241. The cubic root of 1528480 is about 115.1913638073.

The spelling of 1528480 in words is "one million, five hundred twenty-eight thousand, four hundred eighty".