4982905200 has 240 divisors, whose sum is σ = 19645853696. Its totient is φ = 1051315200.

The previous prime is 4982905189. The next prime is 4982905283. The reversal of 4982905200 is 25092894.

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 (39).

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 47 ways as a sum of consecutive naturals, for example, 86385 + ... + 132015.

Almost surely, 2^4982905200 is an apocalyptic number.

4982905200 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 4982905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822926848).

4982905200 is an abundant number, since it is smaller than the sum of its proper divisors (14662948496).

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

4982905200 is a wasteful number, since it uses less digits than its factorization.

4982905200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45672 (or 45661 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 4982905200 is about 70589.6961319427. The cubic root of 4982905200 is about 1708.0249417276.

The spelling of 4982905200 in words is "four billion, nine hundred eighty-two million, nine hundred five thousand, two hundred".