276048000 has 384 divisors, whose sum is σ = 1042554240. Its totient is φ = 72576000.

The previous prime is 276047977. The next prime is 276048011. The reversal of 276048000 is 840672.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887965 + ... + 3888035.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985).

Almost surely, 2^276048000 is an apocalyptic number.

276048000 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 276048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).

276048000 is an abundant number, since it is smaller than the sum of its proper divisors (766506240).

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

276048000 is an frugal number, since it uses more digits than its factorization.

276048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

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

The square root of 276048000 is about 16614.6922932686. The cubic root of 276048000 is about 651.1207489072.

Adding to 276048000 its reverse (840672), we get a palindrome (276888672).

The spelling of 276048000 in words is "two hundred seventy-six million, forty-eight thousand".