4977794304 has 144 divisors (see below), whose sum is σ = 16823264640. Its totient is φ = 1422213120.

The previous prime is 4977794303. The next prime is 4977794317. The reversal of 4977794304 is 4034977794.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4977794304² = 49556872265869688832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977794303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3057 + ... + 99824.

Almost surely, 2^4977794304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411632320).

4977794304 is an abundant number, since it is smaller than the sum of its proper divisors (11845470336).

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

4977794304 is a wasteful number, since it uses less digits than its factorization.

4977794304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102913 (or 102893 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 4977794304 is about 70553.4854135499. The cubic root of 4977794304 is about 1707.4407762136.

The spelling of 4977794304 in words is "four billion, nine hundred seventy-seven million, seven hundred ninety-four thousand, three hundred four".