4622248800 has 864 divisors, whose sum is σ = 19108776960. Its totient is φ = 1082419200.

The previous prime is 4622248759. The next prime is 4622248811. The reversal of 4622248800 is 88422264.

It is a happy number.

4622248800 is a `hidden beast` number, since 4 + 622 + 24 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 78343171 + ... + 78343229.

It is an arithmetic number, because the mean of its divisors is an integer number (22116640).

Almost surely, 2^4622248800 is an apocalyptic number.

4622248800 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 4622248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9554388480).

4622248800 is an abundant number, since it is smaller than the sum of its proper divisors (14486528160).

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

4622248800 is a wasteful number, since it uses less digits than its factorization.

4622248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4622248800 is about 67987.1223100375. The cubic root of 4622248800 is about 1665.7804960156.

The spelling of 4622248800 in words is "four billion, six hundred twenty-two million, two hundred forty-eight thousand, eight hundred".