276214400 has 384 divisors, whose sum is σ = 910656000. Its totient is φ = 80179200.

The previous prime is 276214399. The next prime is 276214409. The reversal of 276214400 is 4412672.

It is a self number, because there is not a number n which added to its sum of digits gives 276214400.

It is not an unprimeable number, because it can be changed into a prime (276214409) 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 47 ways as a sum of consecutive naturals, for example, 4681571 + ... + 4681629.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2^276214400 is an apocalyptic number.

276214400 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 276214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

276214400 is an abundant number, since it is smaller than the sum of its proper divisors (634441600).

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

276214400 is a wasteful number, since it uses less digits than its factorization.

276214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 276214400 is about 16619.6991549185. The cubic root of 276214400 is about 651.2515531269.

The spelling of 276214400 in words is "two hundred seventy-six million, two hundred fourteen thousand, four hundred".