270816480 has 384 divisors, whose sum is σ = 1066867200. Its totient is φ = 63590400.

The previous prime is 270816473. The next prime is 270816493. The reversal of 270816480 is 84618072.

270816480 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948251 + ... + 1948389.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^270816480 is an apocalyptic number.

270816480 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 270816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

270816480 is an abundant number, since it is smaller than the sum of its proper divisors (796050720).

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

270816480 is a wasteful number, since it uses less digits than its factorization.

270816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 270816480 is about 16456.5026661196. The cubic root of 270816480 is about 646.9812524478.

The spelling of 270816480 in words is "two hundred seventy million, eight hundred sixteen thousand, four hundred eighty".