4799718400 has 99 divisors (see below), whose sum is σ = 11925029811. Its totient is φ = 1915453440.

The previous prime is 4799718389. The next prime is 4799718433. The reversal of 4799718400 is 48179974.

The square root of 4799718400 is 69280.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1467196416 + 3332521984 = 38304^2 + 57728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11084584 + ... + 11085016.

Almost surely, 2^4799718400 is an apocalyptic number.

4799718400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4799718400 is the 69280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4799718400

4799718400 is an abundant number, since it is smaller than the sum of its proper divisors (7125311411).

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

4799718400 is an frugal number, since it uses more digits than its factorization.

4799718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The cubic root of 4799718400 is about 1686.8323423697.

Multiplying 4799718400 by its sum of digits (49), we get a square (235186201600 = 484960²).

The spelling of 4799718400 in words is "four billion, seven hundred ninety-nine million, seven hundred eighteen thousand, four hundred".