270396144 has 200 divisors, whose sum is σ = 840224000. Its totient is φ = 83700864.

The previous prime is 270396143. The next prime is 270396157. The reversal of 270396144 is 441693072.

270396144 is a `hidden beast` number, since 2 + 7 + 0 + 39 + 614 + 4 = 666.

It is a super-2 number, since 2×270396144² = 146228149380137472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 270396099 and 270396108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270396143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1945227 + ... + 1945365.

It is an arithmetic number, because the mean of its divisors is an integer number (4201120).

Almost surely, 2^270396144 is an apocalyptic number.

270396144 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 270396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420112000).

270396144 is an abundant number, since it is smaller than the sum of its proper divisors (569827856).

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

270396144 is a wasteful number, since it uses less digits than its factorization.

270396144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 270396144 is about 16443.7265849320. The cubic root of 270396144 is about 646.6463511999.

The spelling of 270396144 in words is "two hundred seventy million, three hundred ninety-six thousand, one hundred forty-four".