4769820 has 144 divisors (see below), whose sum is σ = 16534560. Its totient is φ = 1140480.

The previous prime is 4769789. The next prime is 4769867. The reversal of 4769820 is 289674.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65304 + ... + 65376.

Almost surely, 2^4769820 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 4769820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267280).

4769820 is an abundant number, since it is smaller than the sum of its proper divisors (11764740).

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

4769820 is a wasteful number, since it uses less digits than its factorization.

4769820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4769820 is about 2183.9917582262. The cubic root of 4769820 is about 168.3322506438.

Adding to 4769820 its sum of digits (36), we get a square (4769856 = 2184²).

It can be divided in two parts, 476 and 9820, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 4769820 in words is "four million, seven hundred sixty-nine thousand, eight hundred twenty".