274892640 has 144 divisors (see below), whose sum is σ = 951988464. Its totient is φ = 66626560.

The previous prime is 274892621. The next prime is 274892671. The reversal of 274892640 is 46298472.

It is a junction number, because it is equal to n+sod(n) for n = 274892592 and 274892601.

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, 55714 + ... + 60446.

It is an arithmetic number, because the mean of its divisors is an integer number (6611031).

Almost surely, 2^274892640 is an apocalyptic number.

274892640 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 274892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475994232).

274892640 is an abundant number, since it is smaller than the sum of its proper divisors (677095824).

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

274892640 is a wasteful number, since it uses less digits than its factorization.

274892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 274892640 is about 16579.8866099862. The cubic root of 274892640 is about 650.2110872606.

The spelling of 274892640 in words is "two hundred seventy-four million, eight hundred ninety-two thousand, six hundred forty".