274949280 has 144 divisors (see below), whose sum is σ = 961355304. Its totient is φ = 71516160.

The previous prime is 274949251. The next prime is 274949281. The reversal of 274949280 is 82949472.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 184851216 = 9492^2 + 13596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (274949281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56712 + ... + 61368.

Almost surely, 2^274949280 is an apocalyptic number.

274949280 is a gapful number since it is divisible by the number (20) 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 274949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480677652).

274949280 is an abundant number, since it is smaller than the sum of its proper divisors (686406024).

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

274949280 is a wasteful number, since it uses less digits than its factorization.

274949280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 274949280 is about 16581.5946157178. The cubic root of 274949280 is about 650.2557415747.

The spelling of 274949280 in words is "two hundred seventy-four million, nine hundred forty-nine thousand, two hundred eighty".