5474400 has 72 divisors (see below), whose sum is σ = 17826984. Its totient is φ = 1459200.

The previous prime is 5474387. The next prime is 5474401. The reversal of 5474400 is 44745.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5474401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (247597).

Almost surely, 2^5474400 is an apocalyptic number.

5474400 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 5474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913492).

5474400 is an abundant number, since it is smaller than the sum of its proper divisors (12352584).

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

5474400 is a wasteful number, since it uses less digits than its factorization.

5474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 5474400 is about 2339.7435756937. The cubic root of 5474400 is about 176.2431213049.

The spelling of 5474400 in words is "five million, four hundred seventy-four thousand, four hundred".