274201920 has 168 divisors, whose sum is σ = 992977440. Its totient is φ = 69258240.

The previous prime is 274201909. The next prime is 274201933. The reversal of 274201920 is 29102472.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 52215 + ... + 57225.

It is an arithmetic number, because the mean of its divisors is an integer number (5910580).

Almost surely, 2^274201920 is an apocalyptic number.

274201920 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 274201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496488720).

274201920 is an abundant number, since it is smaller than the sum of its proper divisors (718775520).

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

274201920 is a wasteful number, since it uses less digits than its factorization.

274201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 274201920 is about 16559.0434506345. The cubic root of 274201920 is about 649.6660375163. Note that the first 3 decimals are identical.

The spelling of 274201920 in words is "two hundred seventy-four million, two hundred one thousand, nine hundred twenty".