274972320 has 360 divisors, whose sum is σ = 1131466644. Its totient is φ = 62705664.

The previous prime is 274972319. The next prime is 274972343. The reversal of 274972320 is 23279472.

It can be written as a sum of positive squares in 2 ways, for example, as 252047376 + 22924944 = 15876^2 + 4788^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 634824 + ... + 635256.

Almost surely, 2^274972320 is an apocalyptic number.

274972320 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 274972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565733322).

274972320 is an abundant number, since it is smaller than the sum of its proper divisors (856494324).

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

274972320 is a wasteful number, since it uses less digits than its factorization.

274972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 274972320 is about 16582.2893473730. The cubic root of 274972320 is about 650.2739042868.

The spelling of 274972320 in words is "two hundred seventy-four million, nine hundred seventy-two thousand, three hundred twenty".