1264542048 has 288 divisors, whose sum is σ = 4528742400. Its totient is φ = 325140480.

The previous prime is 1264542043. The next prime is 1264542137. The reversal of 1264542048 is 8402454621.

1264542048 is a `hidden beast` number, since 1 + 2 + 645 + 4 + 2 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264542043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2816128 + ... + 2816576.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2^1264542048 is an apocalyptic number.

1264542048 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 1264542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1264542048 is an abundant number, since it is smaller than the sum of its proper divisors (3264200352).

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

1264542048 is a wasteful number, since it uses less digits than its factorization.

1264542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1264542048 is about 35560.3999977503. The cubic root of 1264542048 is about 1081.3785687917.

Adding to 1264542048 its reverse (8402454621), we get a palindrome (9666996669).

The spelling of 1264542048 in words is "one billion, two hundred sixty-four million, five hundred forty-two thousand, forty-eight".