270378864 has 240 divisors, whose sum is σ = 923646240. Its totient is φ = 75479040.

The previous prime is 270378859. The next prime is 270378877. The reversal of 270378864 is 468873072.

It is a happy number.

270378864 is a `hidden beast` number, since 270 + 378 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121784 + ... + 1122024.

It is an arithmetic number, because the mean of its divisors is an integer number (3848526).

Almost surely, 2^270378864 is an apocalyptic number.

270378864 is a gapful number since it is divisible by the number (24) 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 270378864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461823120).

270378864 is an abundant number, since it is smaller than the sum of its proper divisors (653267376).

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

270378864 is a wasteful number, since it uses less digits than its factorization.

270378864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 270378864 is about 16443.2011481950. The cubic root of 270378864 is about 646.6325759948.

The spelling of 270378864 in words is "two hundred seventy million, three hundred seventy-eight thousand, eight hundred sixty-four".