4658472000 has 1120 divisors, whose sum is σ = 21479377920. Its totient is φ = 970444800.

The previous prime is 4658471969. The next prime is 4658472017. The reversal of 4658472000 is 2748564.

4658472000 is a `hidden beast` number, since 4 + 6 + 584 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×4658472000² = 43402722749568000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58967961 + ... + 58968039.

It is an arithmetic number, because the mean of its divisors is an integer number (19178016).

Almost surely, 2^4658472000 is an apocalyptic number.

4658472000 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 4658472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739688960).

4658472000 is an abundant number, since it is smaller than the sum of its proper divisors (16820905920).

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

4658472000 is a wasteful number, since it uses less digits than its factorization.

4658472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4658472000 is about 68252.9999340688. Note that the first 4 decimals coincide. The cubic root of 4658472000 is about 1670.1205884214.

The spelling of 4658472000 in words is "four billion, six hundred fifty-eight million, four hundred seventy-two thousand".