270480 has 120 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 59136.

The previous prime is 270463. The next prime is 270493. The reversal of 270480 is 84072.

It is a happy number.

270480 is a nontrivial binomial coefficient, being equal to C(736, 2).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11749 + ... + 11771.

2²⁷⁰⁴⁸⁰ is an apocalyptic number.

270480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

270480 is the 735-th triangular number and also the 368-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

270480 is an abundant number, since it is smaller than the sum of its proper divisors (747312).

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

270480 is a wasteful number, since it uses less digits than its factorization.

270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 270480 is about 520.0769173882. The cubic root of 270480 is about 64.6713190876.

270480 divided by its sum of digits (21) gives a triangular number (12880 = T₁₆₀).

It can be divided in two parts, 270 and 480, that multiplied together give a square (129600 = 360²).

The spelling of 270480 in words is "two hundred seventy thousand, four hundred eighty".