5954400 has 108 divisors (see below), whose sum is σ = 21022092. Its totient is φ = 1585920.

The previous prime is 5954381. The next prime is 5954407. The reversal of 5954400 is 44595.

It is a super-3 number, since 3×5954400³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5954407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6787 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (194649).

Almost surely, 2^5954400 is an apocalyptic number.

5954400 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 5954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511046).

5954400 is an abundant number, since it is smaller than the sum of its proper divisors (15067692).

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

5954400 is a wasteful number, since it uses less digits than its factorization.

5954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5954400 is about 2440.1639289195. The cubic root of 5954400 is about 181.2505509298.

Adding to 5954400 its reverse (44595), we get a palindrome (5998995).

The spelling of 5954400 in words is "five million, nine hundred fifty-four thousand, four hundred".