1264038048 has 480 divisors, whose sum is σ = 4794806016. Its totient is φ = 317509632.

The previous prime is 1264038047. The next prime is 1264038059. The reversal of 1264038048 is 8408304621.

1264038048 is a `hidden beast` number, since 1 + 2 + 640 + 3 + 8 + 0 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1264038047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5424940 + ... + 5425172.

Almost surely, 2^1264038048 is an apocalyptic number.

1264038048 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 1264038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397403008).

1264038048 is an abundant number, since it is smaller than the sum of its proper divisors (3530767968).

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

1264038048 is a wasteful number, since it uses less digits than its factorization.

1264038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1264038048 is about 35553.3127570414. The cubic root of 1264038048 is about 1081.2348837786.

The spelling of 1264038048 in words is "one billion, two hundred sixty-four million, thirty-eight thousand, forty-eight".