4904000 has 56 divisors (see below), whose sum is σ = 12164568. Its totient is φ = 1958400.

The previous prime is 4903999. The next prime is 4904023. The reversal of 4904000 is 4094.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 3444736 = 1208^2 + 1856^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4904000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7694 + ... + 8306.

Almost surely, 2^4904000 is an apocalyptic number.

4904000 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 4904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082284).

4904000 is an abundant number, since it is smaller than the sum of its proper divisors (7260568).

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

4904000 is an equidigital number, since it uses as much as digits as its factorization.

4904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4904000 is about 2214.4976857066. The cubic root of 4904000 is about 169.8961303204.

Adding to 4904000 its reverse (4094), we get a palindrome (4908094).

It can be divided in two parts, 490 and 4000, that multiplied together give a square (1960000 = 1400²).

The spelling of 4904000 in words is "four million, nine hundred four thousand".