4479375600 has 480 divisors, whose sum is σ = 18374935040. Its totient is φ = 1015234560.

The previous prime is 4479375599. The next prime is 4479375631. The reversal of 4479375600 is 65739744.

4479375600 is a `hidden beast` number, since 4 + 4 + 7 + 9 + 37 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14590647 + ... + 14590953.

Almost surely, 2^4479375600 is an apocalyptic number.

4479375600 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 4479375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187467520).

4479375600 is an abundant number, since it is smaller than the sum of its proper divisors (13895559440).

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

4479375600 is a wasteful number, since it uses less digits than its factorization.

4479375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4479375600 is about 66928.1375805423. The cubic root of 4479375600 is about 1648.4375291465.

The spelling of 4479375600 in words is "four billion, four hundred seventy-nine million, three hundred seventy-five thousand, six hundred".