270456 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 88160.

The previous prime is 270451. The next prime is 270461. The reversal of 270456 is 654072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (270451) and next prime (270461).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1321 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁷⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

270456 is an abundant number, since it is smaller than the sum of its proper divisors (420744).

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

270456 is a wasteful number, since it uses less digits than its factorization.

270456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 270456 is about 520.0538433662. The cubic root of 270456 is about 64.6694062443.

Adding to 270456 its sum of digits (24), we get a triangular number (270480 = T₇₃₅).

The spelling of 270456 in words is "two hundred seventy thousand, four hundred fifty-six".