4769283600 has 135 divisors (see below), whose sum is σ = 16565130829. Its totient is φ = 1270704000.

The previous prime is 4769283583. The next prime is 4769283601. The reversal of 4769283600 is 63829674.

The square root of 4769283600 is 69060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1716942096 + 3052341504 = 41436^2 + 55248^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4769283601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4143025 + ... + 4144175.

Almost surely, 2^4769283600 is an apocalyptic number.

4769283600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4769283600 is the 69060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4769283600

4769283600 is an abundant number, since it is smaller than the sum of its proper divisors (11795847229).

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

4769283600 is a wasteful number, since it uses less digits than its factorization.

4769283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 4769283600 is about 1683.2594035651.

It can be divided in two parts, 4769 and 283600, that added together give a square (288369 = 537²).

The spelling of 4769283600 in words is "four billion, seven hundred sixty-nine million, two hundred eighty-three thousand, six hundred".