274496040 has 640 divisors, whose sum is σ = 1219680000. Its totient is φ = 54867456.

The previous prime is 274496017. The next prime is 274496141. The reversal of 274496040 is 40694472.

274496040 is a `hidden beast` number, since 2 + 7 + 4 + 49 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 274495986 and 274496004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14447151 + ... + 14447169.

It is an arithmetic number, because the mean of its divisors is an integer number (1905750).

Almost surely, 2^274496040 is an apocalyptic number.

274496040 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 274496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840000).

274496040 is an abundant number, since it is smaller than the sum of its proper divisors (945183960).

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

274496040 is a wasteful number, since it uses less digits than its factorization.

274496040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 274496040 is about 16567.9220181651. The cubic root of 274496040 is about 649.8982404803.

It can be divided in two parts, 27449 and 6040, that added together give a square (33489 = 183²).

The spelling of 274496040 in words is "two hundred seventy-four million, four hundred ninety-six thousand, forty".