5478200 has 144 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 1693440.

The previous prime is 5478197. The next prime is 5478211. The reversal of 5478200 is 28745.

5478200 = 35³ + 36³ + ... + 69³.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5478200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127379 + ... + 127421.

Almost surely, 2^5478200 is an apocalyptic number.

5478200 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 5478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163540).

5478200 is an abundant number, since it is smaller than the sum of its proper divisors (10848880).

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

5478200 is a wasteful number, since it uses less digits than its factorization.

5478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5478200 is about 2340.5554896221. Note that the first 3 decimals coincide. The cubic root of 5478200 is about 176.2838910063.

The spelling of 5478200 in words is "five million, four hundred seventy-eight thousand, two hundred".