274081824 has 72 divisors (see below), whose sum is σ = 784068012. Its totient is φ = 90816000.

The previous prime is 274081817. The next prime is 274081849. The reversal of 274081824 is 428180472.

It can be written as a sum of positive squares in 2 ways, for example, as 195440400 + 78641424 = 13980^2 + 8868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47074 + ... + 52574.

Almost surely, 2^274081824 is an apocalyptic number.

274081824 is a gapful number since it is divisible by the number (24) 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 274081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392034006).

274081824 is an abundant number, since it is smaller than the sum of its proper divisors (509986188).

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

274081824 is a wasteful number, since it uses less digits than its factorization.

274081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 274081824 is about 16555.4167570617. The cubic root of 274081824 is about 649.5711759315.

The spelling of 274081824 in words is "two hundred seventy-four million, eighty-one thousand, eight hundred twenty-four".