270666400 has 72 divisors (see below), whose sum is σ = 695580480. Its totient is φ = 102562560.

The previous prime is 270666391. The next prime is 270666421. The reversal of 270666400 is 4666072.

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, 6297 + ... + 24103.

It is an arithmetic number, because the mean of its divisors is an integer number (9660840).

Almost surely, 2^270666400 is an apocalyptic number.

270666400 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 270666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347790240).

270666400 is an abundant number, since it is smaller than the sum of its proper divisors (424914080).

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

270666400 is a wasteful number, since it uses less digits than its factorization.

270666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17846 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 270666400 is about 16451.9421345931. The cubic root of 270666400 is about 646.8617165312.

The spelling of 270666400 in words is "two hundred seventy million, six hundred sixty-six thousand, four hundred".