270086400 has 270 divisors, whose sum is σ = 1000549242. Its totient is φ = 71884800.

The previous prime is 270086287. The next prime is 270086407. The reversal of 270086400 is 4680072.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 264777984 = 2304^2 + 16272^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (270086407) 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 29 ways as a sum of consecutive naturals, for example, 518140 + ... + 518660.

Almost surely, 2^270086400 is an apocalyptic number.

270086400 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 270086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500274621).

270086400 is an abundant number, since it is smaller than the sum of its proper divisors (730462842).

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

270086400 is an equidigital number, since it uses as much as digits as its factorization.

270086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270086400 is about 16434.3055831392. The cubic root of 270086400 is about 646.3993415671.

The spelling of 270086400 in words is "two hundred seventy million, eighty-six thousand, four hundred".