276880464 has 320 divisors, whose sum is σ = 984064000. Its totient is φ = 72783360.

The previous prime is 276880423. The next prime is 276880469. The reversal of 276880464 is 464088672.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276880469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3504777 + ... + 3504855.

It is an arithmetic number, because the mean of its divisors is an integer number (3075200).

Almost surely, 2^276880464 is an apocalyptic number.

276880464 is a gapful number since it is divisible by the number (24) 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 276880464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492032000).

276880464 is an abundant number, since it is smaller than the sum of its proper divisors (707183536).

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

276880464 is a wasteful number, since it uses less digits than its factorization.

276880464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 276880464 is about 16639.7254785047. The cubic root of 276880464 is about 651.7746093857.

The spelling of 276880464 in words is "two hundred seventy-six million, eight hundred eighty thousand, four hundred sixty-four".