1274048928 has 144 divisors (see below), whose sum is σ = 3763259136. Its totient is φ = 408568320.

The previous prime is 1274048917. The next prime is 1274048929. The reversal of 1274048928 is 8298404721.

1274048928 is a `hidden beast` number, since 127 + 40 + 489 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1274048929) 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, 824925 + ... + 826467.

It is an arithmetic number, because the mean of its divisors is an integer number (26133744).

Almost surely, 2^1274048928 is an apocalyptic number.

1274048928 is a gapful number since it is divisible by the number (18) 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 1274048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881629568).

1274048928 is an abundant number, since it is smaller than the sum of its proper divisors (2489210208).

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

1274048928 is a wasteful number, since it uses less digits than its factorization.

1274048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1274048928 is about 35693.8219864447. The cubic root of 1274048928 is about 1084.0817556108.

The spelling of 1274048928 in words is "one billion, two hundred seventy-four million, forty-eight thousand, nine hundred twenty-eight".