4466948220 has 288 divisors, whose sum is σ = 17111098368. Its totient is φ = 919074816.

The previous prime is 4466948209. The next prime is 4466948249. The reversal of 4466948220 is 228496644.

4466948220 is a `hidden beast` number, since 4 + 466 + 94 + 82 + 20 = 666.

It is a super-2 number, since 2×4466948220² = 39907252800322336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488127 + ... + 497193.

It is an arithmetic number, because the mean of its divisors is an integer number (59413536).

Almost surely, 2^4466948220 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 4466948220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555549184).

4466948220 is an abundant number, since it is smaller than the sum of its proper divisors (12644150148).

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

4466948220 is a wasteful number, since it uses less digits than its factorization.

4466948220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4466948220 is about 66835.2318766083. The cubic root of 4466948220 is about 1646.9116666460.

The spelling of 4466948220 in words is "four billion, four hundred sixty-six million, nine hundred forty-eight thousand, two hundred twenty".