274982664 has 144 divisors (see below), whose sum is σ = 794329200. Its totient is φ = 79259840.

The previous prime is 274982651. The next prime is 274982671. The reversal of 274982664 is 466289472.

Its product of digits (1161216) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1536127 + ... + 1536305.

It is an arithmetic number, because the mean of its divisors is an integer number (5516175).

Almost surely, 2^274982664 is an apocalyptic number.

274982664 is a gapful number since it is divisible by the number (24) 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 274982664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397164600).

274982664 is an abundant number, since it is smaller than the sum of its proper divisors (519346536).

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

274982664 is a wasteful number, since it uses less digits than its factorization.

274982664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 218 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 274982664 is about 16582.6012434720. The cubic root of 274982664 is about 650.2820582577.

The spelling of 274982664 in words is "two hundred seventy-four million, nine hundred eighty-two thousand, six hundred sixty-four".