5904900 has 99 divisors (see below), whose sum is σ = 19220341. Its totient is φ = 1574640.

The previous prime is 5904863. The next prime is 5904901. The reversal of 5904900 is 94095.

It is a happy number.

The square root of 5904900 is 2430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 3779136 = 1458^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5904901) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1180978 + ... + 1180982.

Almost surely, 2^5904900 is an apocalyptic number.

5904900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5904900 is the 2430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5904900

5904900 is an abundant number, since it is smaller than the sum of its proper divisors (13315441).

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

5904900 is an equidigital number, since it uses as much as digits as its factorization.

5904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 5904900 is about 180.7468965222.

Adding to 5904900 its reverse (94095), we get a palindrome (5998995).

The spelling of 5904900 in words is "five million, nine hundred four thousand, nine hundred".