274128816 has 120 divisors (see below), whose sum is σ = 784235520. Its totient is φ = 82437888.

The previous prime is 274128779. The next prime is 274128817. The reversal of 274128816 is 618821472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (274128817) 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, 380905 + ... + 381623.

It is an arithmetic number, because the mean of its divisors is an integer number (6535296).

Almost surely, 2^274128816 is an apocalyptic number.

274128816 is a gapful number since it is divisible by the number (26) 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 274128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392117760).

274128816 is an abundant number, since it is smaller than the sum of its proper divisors (510106704).

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

274128816 is a wasteful number, since it uses less digits than its factorization.

274128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 784 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 274128816 is about 16556.8359296093. The cubic root of 274128816 is about 649.6082973331.

The spelling of 274128816 in words is "two hundred seventy-four million, one hundred twenty-eight thousand, eight hundred sixteen".