1478800 has 30 divisors (see below), whose sum is σ = 3553778. Its totient is φ = 591360.

The previous prime is 1478777. The next prime is 1478809. The reversal of 1478800 is 88741.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 1478656 = 12^2 + 1216^2 .

It is not an unprimeable number, because it can be changed into a prime (1478809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1449 + ... + 2248.

2^1478800 is an apocalyptic number.

1478800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1478800 is an abundant number, since it is smaller than the sum of its proper divisors (2074978).

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

1478800 is a wasteful number, since it uses less digits than its factorization.

1478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1478800 is about 1216.0592090848. The cubic root of 1478800 is about 113.9295758741.

It can be divided in two parts, 1478 and 800, that added together give a triangular number (2278 = T₆₇).

The spelling of 1478800 in words is "one million, four hundred seventy-eight thousand, eight hundred".