54008900 has 72 divisors (see below), whose sum is σ = 131408256. Its totient is φ = 19094400.

The previous prime is 54008893. The next prime is 54008917. The reversal of 54008900 is 980045.

It is a super-2 number, since 2×54008900² = 5833922558420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54008900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40037 + ... + 41363.

Almost surely, 2^54008900 is an apocalyptic number.

54008900 is a gapful number since it is divisible by the number (50) 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 54008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65704128).

54008900 is an abundant number, since it is smaller than the sum of its proper divisors (77399356).

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

54008900 is a wasteful number, since it uses less digits than its factorization.

54008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 54008900 is about 7349.0747716975. The cubic root of 54008900 is about 377.9970791932.

Adding to 54008900 its reverse (980045), we get a palindrome (54988945).

The spelling of 54008900 in words is "fifty-four million, eight thousand, nine hundred".