4799474400 has 288 divisors, whose sum is σ = 18631807488. Its totient is φ = 1049241600.

The previous prime is 4799474389. The next prime is 4799474411. The reversal of 4799474400 is 44749974.

It is an interprime number because it is at equal distance from previous prime (4799474389) and next prime (4799474411).

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 4799474400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380190 + ... + 392610.

It is an arithmetic number, because the mean of its divisors is an integer number (64693776).

Almost surely, 2^4799474400 is an apocalyptic number.

4799474400 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 4799474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315903744).

4799474400 is an abundant number, since it is smaller than the sum of its proper divisors (13832333088).

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

4799474400 is a wasteful number, since it uses less digits than its factorization.

4799474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 4799474400 is about 69278.2390076422. The cubic root of 4799474400 is about 1686.8037577715.

The spelling of 4799474400 in words is "four billion, seven hundred ninety-nine million, four hundred seventy-four thousand, four hundred".