1230058368 has 384 divisors, whose sum is σ = 4519008000. Its totient is φ = 318366720.

The previous prime is 1230058327. The next prime is 1230058447. The reversal of 1230058368 is 8638500321.

1230058368 is a `hidden beast` number, since 12 + 3 + 0 + 0 + 583 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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, 4346355 + ... + 4346637.

It is an arithmetic number, because the mean of its divisors is an integer number (11768250).

Almost surely, 2^1230058368 is an apocalyptic number.

1230058368 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 1230058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259504000).

1230058368 is an abundant number, since it is smaller than the sum of its proper divisors (3288949632).

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

1230058368 is a wasteful number, since it uses less digits than its factorization.

1230058368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1230058368 is about 35072.1879557007. The cubic root of 1230058368 is about 1071.4582173588.

Adding to 1230058368 its reverse (8638500321), we get a palindrome (9868558689).

The spelling of 1230058368 in words is "one billion, two hundred thirty million, fifty-eight thousand, three hundred sixty-eight".