276563040 has 384 divisors, whose sum is σ = 1024192512. Its totient is φ = 62177280.

The previous prime is 276563029. The next prime is 276563083. The reversal of 276563040 is 40365672.

It is a junction number, because it is equal to n+sod(n) for n = 276562992 and 276563010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5884297 + ... + 5884343.

It is an arithmetic number, because the mean of its divisors is an integer number (2667168).

Almost surely, 2^276563040 is an apocalyptic number.

276563040 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 276563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512096256).

276563040 is an abundant number, since it is smaller than the sum of its proper divisors (747629472).

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

276563040 is a wasteful number, since it uses less digits than its factorization.

276563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 276563040 is about 16630.1846051089. The cubic root of 276563040 is about 651.5254428775.

The spelling of 276563040 in words is "two hundred seventy-six million, five hundred sixty-three thousand, forty".