270001440 has 144 divisors (see below), whose sum is σ = 931360248. Its totient is φ = 71221248.

The previous prime is 270001423. The next prime is 270001447. The reversal of 270001440 is 44100072.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 229704336 + 40297104 = 15156^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270001447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138714 + ... + 140646.

Almost surely, 2^270001440 is an apocalyptic number.

270001440 is a gapful number since it is divisible by the number (20) 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 270001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465680124).

270001440 is an abundant number, since it is smaller than the sum of its proper divisors (661358808).

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

270001440 is a wasteful number, since it uses less digits than its factorization.

270001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 270001440 is about 16431.7205429012. The cubic root of 270001440 is about 646.3315560394.

The spelling of 270001440 in words is "two hundred seventy million, one thousand, four hundred forty".