278464872 has 64 divisors (see below), whose sum is σ = 797846400. Its totient is φ = 79338240.

The previous prime is 278464871. The next prime is 278464889.

It is a happy number.

278464872 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (278464871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63222 + ... + 67482.

It is an arithmetic number, because the mean of its divisors is an integer number (12466350).

Almost surely, 2^278464872 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 278464872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398923200).

278464872 is an abundant number, since it is smaller than the sum of its proper divisors (519381528).

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

278464872 is a wasteful number, since it uses less digits than its factorization.

278464872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 278464872 is about 16687.2667624150. The cubic root of 278464872 is about 653.0154738220.

The spelling of 278464872 in words is "two hundred seventy-eight million, four hundred sixty-four thousand, eight hundred seventy-two".