276424416 has 72 divisors (see below), whose sum is σ = 788598720. Its totient is φ = 91846656.

The previous prime is 276424411. The next prime is 276424429. The reversal of 276424416 is 614424672.

276424416 is a `hidden beast` number, since 2 + 7 + 642 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (276424411) 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, 100305 + ... + 103023.

It is an arithmetic number, because the mean of its divisors is an integer number (10952760).

Almost surely, 2^276424416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394299360).

276424416 is an abundant number, since it is smaller than the sum of its proper divisors (512174304).

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

276424416 is a wasteful number, since it uses less digits than its factorization.

276424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3077 counting only the distinct ones).

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

The square root of 276424416 is about 16626.0162396168. The cubic root of 276424416 is about 651.4165681735.

The spelling of 276424416 in words is "two hundred seventy-six million, four hundred twenty-four thousand, four hundred sixteen".