274428000 has 720 divisors, whose sum is σ = 1265296032. Its totient is φ = 57024000.

The previous prime is 274427999. The next prime is 274428017. The reversal of 274428000 is 824472.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24947995 + ... + 24948005.

Almost surely, 2^274428000 is an apocalyptic number.

274428000 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 274428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632648016).

274428000 is an abundant number, since it is smaller than the sum of its proper divisors (990868032).

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

274428000 is a wasteful number, since it uses less digits than its factorization.

274428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 274428000 is about 16565.8685253747. The cubic root of 274428000 is about 649.8445387580.

The spelling of 274428000 in words is "two hundred seventy-four million, four hundred twenty-eight thousand".