274004640 has 768 divisors, whose sum is σ = 1280240640. Its totient is φ = 53084160.

The previous prime is 274004639. The next prime is 274004651. The reversal of 274004640 is 46400472.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6683020 + ... + 6683060.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^274004640 is an apocalyptic number.

274004640 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 274004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

274004640 is an abundant number, since it is smaller than the sum of its proper divisors (1006236000).

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

274004640 is a wasteful number, since it uses less digits than its factorization.

274004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 274004640 is about 16553.0855129791. The cubic root of 274004640 is about 649.5101951048.

The spelling of 274004640 in words is "two hundred seventy-four million, four thousand, six hundred forty".