5479200 has 108 divisors (see below), whose sum is σ = 19346418. Its totient is φ = 1459200.

The previous prime is 5479171. The next prime is 5479211. The reversal of 5479200 is 29745.

It can be written as a sum of positive squares in 3 ways, for example, as 2108304 + 3370896 = 1452^2 + 1836^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6820 + ... + 7580.

Almost surely, 2^5479200 is an apocalyptic number.

5479200 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 5479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673209).

5479200 is an abundant number, since it is smaller than the sum of its proper divisors (13867218).

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

5479200 is a wasteful number, since it uses less digits than its factorization.

5479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5479200 is about 2340.7691043757. The cubic root of 5479200 is about 176.2946167414.

The spelling of 5479200 in words is "five million, four hundred seventy-nine thousand, two hundred".