54208500 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 14224000.

The previous prime is 54208481. The next prime is 54208507. The reversal of 54208500 is 580245.

It is a super-2 number, since 2×54208500² = 5877122944500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54208507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106246 + ... + 106754.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^54208500 is an apocalyptic number.

54208500 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 54208500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

54208500 is an abundant number, since it is smaller than the sum of its proper divisors (106184460).

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

54208500 is a wasteful number, since it uses less digits than its factorization.

54208500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 54208500 is about 7362.6421887798. The cubic root of 54208500 is about 378.4621597202.

Adding to 54208500 its reverse (580245), we get a palindrome (54788745).

The spelling of 54208500 in words is "fifty-four million, two hundred eight thousand, five hundred".