276009048 has 288 divisors, whose sum is σ = 948598560. Its totient is φ = 70917120.

The previous prime is 276009043. The next prime is 276009049. The reversal of 276009048 is 840900672.

276009048 is a `hidden beast` number, since 2 + 7 + 600 + 9 + 0 + 48 = 666.

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 (276009043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6731908 + ... + 6731948.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2^276009048 is an apocalyptic number.

276009048 is a gapful number since it is divisible by the number (28) 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 276009048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474299280).

276009048 is an abundant number, since it is smaller than the sum of its proper divisors (672589512).

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

276009048 is a wasteful number, since it uses less digits than its factorization.

276009048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 276009048 is about 16613.5200364041. The cubic root of 276009048 is about 651.0901218080.

The spelling of 276009048 in words is "two hundred seventy-six million, nine thousand, forty-eight".