1488400 has 45 divisors (see below), whose sum is σ = 3635463. Its totient is φ = 585600.

The previous prime is 1488379. The next prime is 1488413. The reversal of 1488400 is 48841.

The square root of 1488400 is 1220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 802816 = 828^2 + 896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24370 + ... + 24430.

2^1488400 is an apocalyptic number.

1488400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1488400 is the 1220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488400

1488400 is an abundant number, since it is smaller than the sum of its proper divisors (2147063).

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

1488400 is an equidigital number, since it uses as much as digits as its factorization.

1488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 1488400 is about 114.1755784212.

Multiplying 1488400 by its sum of digits (25), we get a square (37210000 = 6100²).

1488400 divided by its sum of digits (25) gives a square (59536 = 244²).

Multiplying 1488400 by its product of nonzero digits (1024), we get a square (1524121600 = 39040²).

Multiplying 1488400 by its reverse (48841), we get a square (72694944400 = 269620²).

The spelling of 1488400 in words is "one million, four hundred eighty-eight thousand, four hundred".