276480 has 96 divisors (see below), whose sum is σ = 982800. Its totient is φ = 73728.

The previous prime is 276467. The next prime is 276487. The reversal of 276480 is 84672.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)⁴.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276487) by changing a digit.

276480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55294 + ... + 55298.

2²⁷⁶⁴⁸⁰ is an apocalyptic number.

276480 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 276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

276480 is an abundant number, since it is smaller than the sum of its proper divisors (706320).

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

276480 is an equidigital number, since it uses as much as digits as its factorization.

276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 276480 is about 525.8136552050. The cubic root of 276480 is about 65.1460227983.

The spelling of 276480 in words is "two hundred seventy-six thousand, four hundred eighty".