274386816 has 192 divisors, whose sum is σ = 878342400. Its totient is φ = 81515520.

The previous prime is 274386793. The next prime is 274386839. The reversal of 274386816 is 618683472.

It is an interprime number because it is at equal distance from previous prime (274386793) and next prime (274386839).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×274386816³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747465 + ... + 747831.

It is an arithmetic number, because the mean of its divisors is an integer number (4574700).

Almost surely, 2^274386816 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 274386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

274386816 is an abundant number, since it is smaller than the sum of its proper divisors (603955584).

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

274386816 is a wasteful number, since it uses less digits than its factorization.

274386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 274386816 is about 16564.6254409812. The cubic root of 274386816 is about 649.8120292760.

The spelling of 274386816 in words is "two hundred seventy-four million, three hundred eighty-six thousand, eight hundred sixteen".