276438400 has 288 divisors, whose sum is σ = 832681080. Its totient is φ = 90316800.

The previous prime is 276438367. The next prime is 276438413. The reversal of 276438400 is 4834672.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6428779 + ... + 6428821.

Almost surely, 2^276438400 is an apocalyptic number.

276438400 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 276438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416340540).

276438400 is an abundant number, since it is smaller than the sum of its proper divisors (556242680).

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

276438400 is a wasteful number, since it uses less digits than its factorization.

276438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 276438400 is about 16626.4367800199. The cubic root of 276438400 is about 651.4275527985.

The spelling of 276438400 in words is "two hundred seventy-six million, four hundred thirty-eight thousand, four hundred".