4901000 has 96 divisors (see below), whose sum is σ = 12846600. Its totient is φ = 1747200.

The previous prime is 4900999. The next prime is 4901009. The reversal of 4901000 is 1094.

It can be written as a sum of positive squares in 12 ways, for example, as 1522756 + 3378244 = 1234^2 + 1838^2 .

It is not an unprimeable number, because it can be changed into a prime (4901009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168986 + ... + 169014.

Almost surely, 2^4901000 is an apocalyptic number.

4901000 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 4901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423300).

4901000 is an abundant number, since it is smaller than the sum of its proper divisors (7945600).

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

4901000 is a wasteful number, since it uses less digits than its factorization.

4901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4901000 is about 2213.8202275704. The cubic root of 4901000 is about 169.8614788549.

Adding to 4901000 its reverse (1094), we get a palindrome (4902094).

The spelling of 4901000 in words is "four million, nine hundred one thousand".