4761000 has 144 divisors (see below), whose sum is σ = 16822260. Its totient is φ = 1214400.

The previous prime is 4760999. The next prime is 4761007. The reversal of 4761000 is 1674.

4761000 = 46³ + 47³ + ... + 69³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 1542564 = 1794^2 + 1242^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4761007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206989 + ... + 207011.

Almost surely, 2^4761000 is an apocalyptic number.

4761000 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 4761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411130).

4761000 is an abundant number, since it is smaller than the sum of its proper divisors (12061260).

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

4761000 is a wasteful number, since it uses less digits than its factorization.

4761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4761000 is about 2181.9715855162. The cubic root of 4761000 is about 168.2284307570.

Adding to 4761000 its reverse (1674), we get a palindrome (4762674).

The spelling of 4761000 in words is "four million, seven hundred sixty-one thousand".