4657254000 has 640 divisors, whose sum is σ = 18322636800. Its totient is φ = 1016064000.

The previous prime is 4657253987. The next prime is 4657254013. The reversal of 4657254000 is 4527564.

It is an interprime number because it is at equal distance from previous prime (4657253987) and next prime (4657254013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63797964 + ... + 63798036.

It is an arithmetic number, because the mean of its divisors is an integer number (28629120).

Almost surely, 2^4657254000 is an apocalyptic number.

4657254000 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 4657254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161318400).

4657254000 is an abundant number, since it is smaller than the sum of its proper divisors (13665382800).

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

4657254000 is a wasteful number, since it uses less digits than its factorization.

4657254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 4657254000 is about 68244.0766660375. The cubic root of 4657254000 is about 1669.9750196462.

The spelling of 4657254000 in words is "four billion, six hundred fifty-seven million, two hundred fifty-four thousand".