270942480 has 240 divisors, whose sum is σ = 959462400. Its totient is φ = 68428800.

The previous prime is 270942479. The next prime is 270942487. The reversal of 270942480 is 84249072.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (270942487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1361421 + ... + 1361619.

It is an arithmetic number, because the mean of its divisors is an integer number (3997760).

Almost surely, 2^270942480 is an apocalyptic number.

270942480 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 270942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479731200).

270942480 is an abundant number, since it is smaller than the sum of its proper divisors (688519920).

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

270942480 is a wasteful number, since it uses less digits than its factorization.

270942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 270942480 is about 16460.3304948595. The cubic root of 270942480 is about 647.0815749965.

The spelling of 270942480 in words is "two hundred seventy million, nine hundred forty-two thousand, four hundred eighty".