4682260800 has 252 divisors, whose sum is σ = 19019678496. Its totient is φ = 1070208000.

The previous prime is 4682260787. The next prime is 4682260889. The reversal of 4682260800 is 80622864.

4682260800 is a `hidden beast` number, since 46 + 8 + 2 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77575 + ... + 124025.

Almost surely, 2^4682260800 is an apocalyptic number.

4682260800 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 4682260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509839248).

4682260800 is an abundant number, since it is smaller than the sum of its proper divisors (14337417696).

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

4682260800 is a wasteful number, since it uses less digits than its factorization.

4682260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46486 (or 46468 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4682260800 is about 68427.0472839505. The cubic root of 4682260800 is about 1672.9586239841.

The spelling of 4682260800 in words is "four billion, six hundred eighty-two million, two hundred sixty thousand, eight hundred".