5170400 has 72 divisors (see below), whose sum is σ = 13217904. Its totient is φ = 1971200.

The previous prime is 5170393. The next prime is 5170411. The reversal of 5170400 is 40715.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18260 + ... + 18540.

It is an arithmetic number, because the mean of its divisors is an integer number (183582).

Almost surely, 2^5170400 is an apocalyptic number.

5170400 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 5170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608952).

5170400 is an abundant number, since it is smaller than the sum of its proper divisors (8047504).

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

5170400 is a wasteful number, since it uses less digits than its factorization.

5170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 5170400 is about 2273.8513583786. The cubic root of 5170400 is about 172.9184687156.

The spelling of 5170400 in words is "five million, one hundred seventy thousand, four hundred".