4978924800 has 216 divisors, whose sum is σ = 16522796640. Its totient is φ = 1320345600.

The previous prime is 4978924751. The next prime is 4978924823. The reversal of 4978924800 is 84298794.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4050586 + ... + 4051814.

Almost surely, 2^4978924800 is an apocalyptic number.

4978924800 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 4978924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261398320).

4978924800 is an abundant number, since it is smaller than the sum of its proper divisors (11543871840).

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

4978924800 is a wasteful number, since it uses less digits than its factorization.

4978924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4978924800 is about 70561.4965827681. The cubic root of 4978924800 is about 1707.5700241457.

The spelling of 4978924800 in words is "four billion, nine hundred seventy-eight million, nine hundred twenty-four thousand, eight hundred".