1238794560 has 336 divisors, whose sum is σ = 4493361600. Its totient is φ = 324808704.

The previous prime is 1238794553. The next prime is 1238794561. The reversal of 1238794560 is 654978321.

1238794560 is a `hidden beast` number, since 1 + 2 + 3 + 87 + 9 + 4 + 560 = 666.

1238794560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1238794560² = 3069223923771187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1238794560 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238794561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6920551 + ... + 6920729.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

It is a 1-persistent number, because it is pandigital, but 2⋅1238794560 = 2477589120 is not.

Almost surely, 2^1238794560 is an apocalyptic number.

1238794560 is a gapful number since it is divisible by the number (10) 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 1238794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246680800).

1238794560 is an abundant number, since it is smaller than the sum of its proper divisors (3254567040).

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

1238794560 is an equidigital number, since it uses as much as digits as its factorization.

1238794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1238794560 is about 35196.5134636941. The cubic root of 1238794560 is about 1073.9888266994.

The spelling of 1238794560 in words is "one billion, two hundred thirty-eight million, seven hundred ninety-four thousand, five hundred sixty".