274198080 has 224 divisors, whose sum is σ = 950390784. Its totient is φ = 66576384.

The previous prime is 274198061. The next prime is 274198081. The reversal of 274198080 is 80891472.

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 (274198081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1584874 + ... + 1585046.

It is an arithmetic number, because the mean of its divisors is an integer number (4242816).

Almost surely, 2^274198080 is an apocalyptic number.

274198080 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 274198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475195392).

274198080 is an abundant number, since it is smaller than the sum of its proper divisors (676192704).

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

274198080 is a wasteful number, since it uses less digits than its factorization.

274198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 274198080 is about 16558.9275015020. The cubic root of 274198080 is about 649.6630048008.

The spelling of 274198080 in words is "two hundred seventy-four million, one hundred ninety-eight thousand, eighty".