4797950400 has 252 divisors, whose sum is σ = 17311051992. Its totient is φ = 1260103680.

The previous prime is 4797950389. The next prime is 4797950401. The reversal of 4797950400 is 40597974.

4797950400 is a `hidden beast` number, since 4 + 79 + 79 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4797950401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 962314 + ... + 967286.

Almost surely, 2^4797950400 is an apocalyptic number.

4797950400 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 4797950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655525996).

4797950400 is an abundant number, since it is smaller than the sum of its proper divisors (12513101592).

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

4797950400 is a wasteful number, since it uses less digits than its factorization.

4797950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4797950400 is about 69267.2390095058. The cubic root of 4797950400 is about 1686.6251992562.

The spelling of 4797950400 in words is "four billion, seven hundred ninety-seven million, nine hundred fifty thousand, four hundred".