1470080800 has 36 divisors (see below), whose sum is σ = 3588836706. Its totient is φ = 588032000.

The previous prime is 1470080779. The next prime is 1470080809. The reversal of 1470080800 is 80800741.

It can be written as a sum of positive squares in 3 ways, for example, as 911798416 + 558282384 = 30196^2 + 23628^2 .

It is a super-2 number, since 2×1470080800² = 4322275117057280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1470080809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 918001 + ... + 919600.

Almost surely, 2^1470080800 is an apocalyptic number.

1470080800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1470080800 is an abundant number, since it is smaller than the sum of its proper divisors (2118755906).

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

1470080800 is a wasteful number, since it uses less digits than its factorization.

1470080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837621 (or 1837608 counting only the distinct ones).

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

The square root of 1470080800 is about 38341.6327247550. The cubic root of 1470080800 is about 1137.0521974424.

The spelling of 1470080800 in words is "one billion, four hundred seventy million, eighty thousand, eight hundred".