276414642 has 96 divisors (see below), whose sum is σ = 708799104. Its totient is φ = 76204800.

The previous prime is 276414613. The next prime is 276414653. The reversal of 276414642 is 246414672.

276414642 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 1 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 276414597 and 276414606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983542 + ... + 983822.

It is an arithmetic number, because the mean of its divisors is an integer number (7383324).

Almost surely, 2^276414642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276414642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354399552).

276414642 is an abundant number, since it is smaller than the sum of its proper divisors (432384462).

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

276414642 is a wasteful number, since it uses less digits than its factorization.

276414642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 541 counting only the distinct ones).

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

The square root of 276414642 is about 16625.7223000987. The cubic root of 276414642 is about 651.4088903416.

The spelling of 276414642 in words is "two hundred seventy-six million, four hundred fourteen thousand, six hundred forty-two".