274971648 has 176 divisors, whose sum is σ = 882993920. Its totient is φ = 74317824.

The previous prime is 274971589. The next prime is 274971659. The reversal of 274971648 is 846179472.

It is a super-3 number, since 3×274971648³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 274971597 and 274971606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408240 + ... + 408912.

Almost surely, 2^274971648 is an apocalyptic number.

274971648 is a gapful number since it is divisible by the number (28) 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 274971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441496960).

274971648 is an abundant number, since it is smaller than the sum of its proper divisors (608022272).

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

274971648 is a wasteful number, since it uses less digits than its factorization.

274971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 274971648 is about 16582.2690847785. The cubic root of 274971648 is about 650.2733745554.

The spelling of 274971648 in words is "two hundred seventy-four million, nine hundred seventy-one thousand, six hundred forty-eight".