276042000 has 160 divisors (see below), whose sum is σ = 958688640. Its totient is φ = 67929600.

The previous prime is 276041999. The next prime is 276042001. The reversal of 276042000 is 240672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (276041999) and next prime (276042001).

It is not an unprimeable number, because it can be changed into a prime (276042001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76231 + ... + 79769.

It is an arithmetic number, because the mean of its divisors is an integer number (5991804).

Almost surely, 2^276042000 is an apocalyptic number.

276042000 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 276042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479344320).

276042000 is an abundant number, since it is smaller than the sum of its proper divisors (682646640).

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

276042000 is a wasteful number, since it uses less digits than its factorization.

276042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 276042000 is about 16614.5117292083. The cubic root of 276042000 is about 651.1160314272.

Adding to 276042000 its reverse (240672), we get a palindrome (276282672).

The spelling of 276042000 in words is "two hundred seventy-six million, forty-two thousand".