4168477248 has 224 divisors, whose sum is σ = 12985943040. Its totient is φ = 1167851520.

The previous prime is 4168477213. The next prime is 4168477253. The reversal of 4168477248 is 8427748614.

4168477248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4168477248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313808 + ... + 1316976.

It is an arithmetic number, because the mean of its divisors is an integer number (57972960).

Almost surely, 2^4168477248 is an apocalyptic number.

4168477248 is a gapful number since it is divisible by the number (48) 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 4168477248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492971520).

4168477248 is an abundant number, since it is smaller than the sum of its proper divisors (8817465792).

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

4168477248 is a wasteful number, since it uses less digits than its factorization.

4168477248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3235 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 51.

The square root of 4168477248 is about 64563.7456162512. The cubic root of 4168477248 is about 1609.3820201977.

The spelling of 4168477248 in words is "four billion, one hundred sixty-eight million, four hundred seventy-seven thousand, two hundred forty-eight".