1460800 has 84 divisors (see below), whose sum is σ = 3968496. Its totient is φ = 524800.

The previous prime is 1460773. The next prime is 1460821. The reversal of 1460800 is 80641.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17559 + ... + 17641.

It is an arithmetic number, because the mean of its divisors is an integer number (47244).

2^1460800 is an apocalyptic number.

1460800 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 1460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984248).

1460800 is an abundant number, since it is smaller than the sum of its proper divisors (2507696).

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

1460800 is a wasteful number, since it uses less digits than its factorization.

1460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1460800 is about 1208.6355943791. The cubic root of 1460800 is about 113.4654361171.

The spelling of 1460800 in words is "one million, four hundred sixty thousand, eight hundred".