4834420900 has 81 divisors (see below), whose sum is σ = 11171406729. Its totient is φ = 1815567360.

The previous prime is 4834420873. The next prime is 4834420907. The reversal of 4834420900 is 90244384.

The square root of 4834420900 is 69530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 99880036 + 4734540864 = 9994^2 + 68808^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4834420907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11819896 + ... + 11820304.

Almost surely, 2^4834420900 is an apocalyptic number.

4834420900 is the 69530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834420900

4834420900 is an abundant number, since it is smaller than the sum of its proper divisors (6336985829).

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

4834420900 is a wasteful number, since it uses less digits than its factorization.

4834420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 4834420900 is about 1690.8879126744.

The spelling of 4834420900 in words is "four billion, eight hundred thirty-four million, four hundred twenty thousand, nine hundred".