1482400 has 72 divisors (see below), whose sum is σ = 3866940. Its totient is φ = 552960.

The previous prime is 1482359. The next prime is 1482407. The reversal of 1482400 is 42841.

It can be written as a sum of positive squares in 6 ways, for example, as 898704 + 583696 = 948^2 + 764^2 .

It is not an unprimeable number, because it can be changed into a prime (1482407) 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, 13546 + ... + 13654.

2^1482400 is an apocalyptic number.

1482400 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 1482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933470).

1482400 is an abundant number, since it is smaller than the sum of its proper divisors (2384540).

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

1482400 is a wasteful number, since it uses less digits than its factorization.

1482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1482400 is about 1217.5385004180. The cubic root of 1482400 is about 114.0219512464.

The spelling of 1482400 in words is "one million, four hundred eighty-two thousand, four hundred".