274878240 has 576 divisors, whose sum is σ = 1158312960. Its totient is φ = 54190080.

The previous prime is 274878181. The next prime is 274878277. The reversal of 274878240 is 42878472.

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 = 274878192 and 274878201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8867025 + ... + 8867055.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^274878240 is an apocalyptic number.

274878240 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 274878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

274878240 is an abundant number, since it is smaller than the sum of its proper divisors (883434720).

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

274878240 is a wasteful number, since it uses less digits than its factorization.

274878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 274878240 is about 16579.4523431867. The cubic root of 274878240 is about 650.1997334909.

The spelling of 274878240 in words is "two hundred seventy-four million, eight hundred seventy-eight thousand, two hundred forty".