5174400 has 288 divisors, whose sum is σ = 21628080. Its totient is φ = 1075200.

The previous prime is 5174399. The next prime is 5174401. The reversal of 5174400 is 44715.

It is an interprime number because it is at equal distance from previous prime (5174399) and next prime (5174401).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5174401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470395 + ... + 470405.

Almost surely, 2^5174400 is an apocalyptic number.

5174400 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 5174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814040).

5174400 is an abundant number, since it is smaller than the sum of its proper divisors (16453680).

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

5174400 is a wasteful number, since it uses less digits than its factorization.

5174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5174400 is about 2274.7307532981. The cubic root of 5174400 is about 172.9630491210.

The spelling of 5174400 in words is "five million, one hundred seventy-four thousand, four hundred".