4760000 has 140 divisors (see below), whose sum is σ = 14282928. Its totient is φ = 1536000.

The previous prime is 4759933. The next prime is 4760003. The reversal of 4760000 is 674.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279992 + ... + 280008.

Almost surely, 2^4760000 is an apocalyptic number.

4760000 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 4760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141464).

4760000 is an abundant number, since it is smaller than the sum of its proper divisors (9522928).

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

4760000 is an equidigital number, since it uses as much as digits as its factorization.

4760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 4760000 is about 2181.7424229271. The cubic root of 4760000 is about 168.2166517042.

Adding to 4760000 its reverse (674), we get a palindrome (4760674).

The spelling of 4760000 in words is "four million, seven hundred sixty thousand".