1472800 has 72 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 503040.

The previous prime is 1472791. The next prime is 1472813. The reversal of 1472800 is 82741.

1472800 = T₃₂ + T₃₃ + ... + T₂₀₆.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5469 + ... + 5731.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

2^1472800 is an apocalyptic number.

1472800 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 1472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1472800 is an abundant number, since it is smaller than the sum of its proper divisors (2651936).

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

1472800 is a wasteful number, since it uses less digits than its factorization.

1472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1472800 is about 1213.5897165022. The cubic root of 1472800 is about 113.7752831936.

The spelling of 1472800 in words is "one million, four hundred seventy-two thousand, eight hundred".