1528400 has 30 divisors (see below), whose sum is σ = 3672942. Its totient is φ = 611200.

The previous prime is 1528399. The next prime is 1528409. The reversal of 1528400 is 48251.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 1201216 = 572^2 + 1096^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1511 + ... + 2310.

2^1528400 is an apocalyptic number.

1528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1528400 is an abundant number, since it is smaller than the sum of its proper divisors (2144542).

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

1528400 is a wasteful number, since it uses less digits than its factorization.

1528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1528400 is about 1236.2847568420. The cubic root of 1528400 is about 115.1893540831.

The spelling of 1528400 in words is "one million, five hundred twenty-eight thousand, four hundred".