4802652000 has 480 divisors, whose sum is σ = 17990036064. Its totient is φ = 1259712000.

The previous prime is 4802651921. The next prime is 4802652053. The reversal of 4802652000 is 2562084.

4802652000 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 652 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78731970 + ... + 78732030.

Almost surely, 2^4802652000 is an apocalyptic number.

4802652000 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 4802652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995018032).

4802652000 is an abundant number, since it is smaller than the sum of its proper divisors (13187384064).

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

4802652000 is an frugal number, since it uses more digits than its factorization.

4802652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4802652000 is about 69301.1688213121. The cubic root of 4802652000 is about 1687.1759377721.

The spelling of 4802652000 in words is "four billion, eight hundred two million, six hundred fifty-two thousand".