274505040 has 120 divisors (see below), whose sum is σ = 927931680. Its totient is φ = 72721152.

The previous prime is 274505017. The next prime is 274505047. The reversal of 274505040 is 40505472.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 274504995 and 274505013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274505047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116191 + ... + 118529.

It is an arithmetic number, because the mean of its divisors is an integer number (7732764).

Almost surely, 2^274505040 is an apocalyptic number.

274505040 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 274505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463965840).

274505040 is an abundant number, since it is smaller than the sum of its proper divisors (653426640).

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

274505040 is a wasteful number, since it uses less digits than its factorization.

274505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 274505040 is about 16568.1936251361. The cubic root of 274505040 is about 649.9053432182.

The spelling of 274505040 in words is "two hundred seventy-four million, five hundred five thousand, forty".