274575840 has 768 divisors, whose sum is σ = 1254113280. Its totient is φ = 48660480.

The previous prime is 274575827. The next prime is 274575841. The reversal of 274575840 is 48575472.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 274575792 and 274575801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274575841) 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 127 ways as a sum of consecutive naturals, for example, 11938069 + ... + 11938091.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^274575840 is an apocalyptic number.

274575840 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 274575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

274575840 is an abundant number, since it is smaller than the sum of its proper divisors (979537440).

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

274575840 is a wasteful number, since it uses less digits than its factorization.

274575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 274575840 is about 16570.3301113768. The cubic root of 274575840 is about 649.9612126756.

The spelling of 274575840 in words is "two hundred seventy-four million, five hundred seventy-five thousand, eight hundred forty".