4966474800 has 240 divisors, whose sum is σ = 18230277632. Its totient is φ = 1132185600.

The previous prime is 4966474757. The next prime is 4966474811. The reversal of 4966474800 is 84746694.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4966474800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5299932 + ... + 5300868.

Almost surely, 2^4966474800 is an apocalyptic number.

4966474800 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 4966474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115138816).

4966474800 is an abundant number, since it is smaller than the sum of its proper divisors (13263802832).

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

4966474800 is a wasteful number, since it uses less digits than its factorization.

4966474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 4966474800 is about 70473.2204457835. The cubic root of 4966474800 is about 1706.1455538583.

The spelling of 4966474800 in words is "four billion, nine hundred sixty-six million, four hundred seventy-four thousand, eight hundred".