270806400 has 144 divisors (see below), whose sum is σ = 966402060. Its totient is φ = 72207360.

The previous prime is 270806381. The next prime is 270806453. The reversal of 270806400 is 4608072.

270806400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×270806400² = 146672212561920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24099 + ... + 33501.

Almost surely, 2^270806400 is an apocalyptic number.

270806400 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 270806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483201030).

270806400 is an abundant number, since it is smaller than the sum of its proper divisors (695595660).

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

270806400 is a wasteful number, since it uses less digits than its factorization.

270806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9433 (or 9413 counting only the distinct ones).

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

The square root of 270806400 is about 16456.1964013559. The cubic root of 270806400 is about 646.9732252998.

The spelling of 270806400 in words is "two hundred seventy million, eight hundred six thousand, four hundred".