4601256000 has 448 divisors, whose sum is σ = 17174626560. Its totient is φ = 1075200000.

The previous prime is 4601255999. The next prime is 4601256001. The reversal of 4601256000 is 6521064.

It is an interprime number because it is at equal distance from previous prime (4601255999) and next prime (4601256001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4601256001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7655700 + ... + 7656300.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 2^4601256000 is an apocalyptic number.

4601256000 is a gapful number since it is divisible by the number (40) 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 4601256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587313280).

4601256000 is an abundant number, since it is smaller than the sum of its proper divisors (12573370560).

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

4601256000 is a wasteful number, since it uses less digits than its factorization.

4601256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4601256000 is about 67832.5585541339. The cubic root of 4601256000 is about 1663.2548515877.

Adding to 4601256000 its reverse (6521064), we get a palindrome (4607777064).

The spelling of 4601256000 in words is "four billion, six hundred one million, two hundred fifty-six thousand".