1530400 has 36 divisors (see below), whose sum is σ = 3738042. Its totient is φ = 611840.

The previous prime is 1530349. The next prime is 1530409. The reversal of 1530400 is 40351.

It can be written as a sum of positive squares in 3 ways, for example, as 1373584 + 156816 = 1172^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (1530409) 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, 157 + ... + 1756.

2^1530400 is an apocalyptic number.

1530400 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 1530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869021).

1530400 is an abundant number, since it is smaller than the sum of its proper divisors (2207642).

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

1530400 is a wasteful number, since it uses less digits than its factorization.

1530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1530400 is about 1237.0933675354. The cubic root of 1530400 is about 115.2395761657.

Adding to 1530400 its reverse (40351), we get a palindrome (1570751).

The spelling of 1530400 in words is "one million, five hundred thirty thousand, four hundred".