276240384 has 144 divisors (see below), whose sum is σ = 912234960. Its totient is φ = 78888960.

The previous prime is 276240359. The next prime is 276240389. The reversal of 276240384 is 483042672.

276240384 is a `hidden beast` number, since 27 + 624 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276240389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127954 + ... + 130094.

It is an arithmetic number, because the mean of its divisors is an integer number (6334965).

Almost surely, 2^276240384 is an apocalyptic number.

276240384 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 276240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456117480).

276240384 is an abundant number, since it is smaller than the sum of its proper divisors (635994576).

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

276240384 is a wasteful number, since it uses less digits than its factorization.

276240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 276240384 is about 16620.4808594697. The cubic root of 276240384 is about 651.2719739664.

The spelling of 276240384 in words is "two hundred seventy-six million, two hundred forty thousand, three hundred eighty-four".