276054480 has 400 divisors, whose sum is σ = 1077587280. Its totient is φ = 65028096.

The previous prime is 276054479. The next prime is 276054481. The reversal of 276054480 is 84450672.

276054480 is a `hidden beast` number, since 2 + 7 + 605 + 4 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (276054479) and next prime (276054481).

It can be written as a sum of positive squares in 8 ways, for example, as 82955664 + 193098816 = 9108^2 + 13896^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276054481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2442904 + ... + 2443016.

Almost surely, 2^276054480 is an apocalyptic number.

276054480 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 276054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538793640).

276054480 is an abundant number, since it is smaller than the sum of its proper divisors (801532800).

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

276054480 is a wasteful number, since it uses less digits than its factorization.

276054480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 276054480 is about 16614.8873002497. The cubic root of 276054480 is about 651.1258437089.

The spelling of 276054480 in words is "two hundred seventy-six million, fifty-four thousand, four hundred eighty".