4657874100 has 144 divisors (see below), whose sum is σ = 14802177600. Its totient is φ = 1121484800.

The previous prime is 4657874059. The next prime is 4657874119. The reversal of 4657874100 is 14787564.

It is a super-2 number, since 2×4657874100² = 43391582262901620000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 486964 + ... + 496436.

It is an arithmetic number, because the mean of its divisors is an integer number (102792900).

Almost surely, 2^4657874100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4657874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401088800).

4657874100 is an abundant number, since it is smaller than the sum of its proper divisors (10144303500).

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

4657874100 is a wasteful number, since it uses less digits than its factorization.

4657874100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9650 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4657874100 is about 68248.6197662634. The cubic root of 4657874100 is about 1670.0491338168.

The spelling of 4657874100 in words is "four billion, six hundred fifty-seven million, eight hundred seventy-four thousand, one hundred".