4785840 has 180 divisors, whose sum is σ = 17815824. Its totient is φ = 1148928.

The previous prime is 4785827. The next prime is 4785881. The reversal of 4785840 is 485874.

4785840 is a `hidden beast` number, since 4 + 78 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 4785795 and 4785804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208069 + ... + 208091.

Almost surely, 2^4785840 is an apocalyptic number.

4785840 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 4785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8907912).

4785840 is an abundant number, since it is smaller than the sum of its proper divisors (13029984).

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

4785840 is a wasteful number, since it uses less digits than its factorization.

4785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4785840 is about 2187.6562801318. The cubic root of 4785840 is about 168.5204945912.

It can be divided in two parts, 4785 and 840, that added together give a square (5625 = 75²).

The spelling of 4785840 in words is "four million, seven hundred eighty-five thousand, eight hundred forty".