249878664 has 48 divisors (see below), whose sum is σ = 773435520. Its totient is φ = 71393760.

The previous prime is 249878663. The next prime is 249878677. The reversal of 249878664 is 466878942.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 249878664.

It is not an unprimeable number, because it can be changed into a prime (249878663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247392 + ... + 248399.

It is an arithmetic number, because the mean of its divisors is an integer number (16113240).

Almost surely, 2^249878664 is an apocalyptic number.

249878664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249878664 is an abundant number, since it is smaller than the sum of its proper divisors (523556856).

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

249878664 is a wasteful number, since it uses less digits than its factorization.

249878664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495810 (or 495803 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 249878664 is about 15807.5508539432. The cubic root of 249878664 is about 629.8585926012.

The spelling of 249878664 in words is "two hundred forty-nine million, eight hundred seventy-eight thousand, six hundred sixty-four".