5942400 has 96 divisors (see below), whose sum is σ = 19604400. Its totient is φ = 1582080.

The previous prime is 5942399. The next prime is 5942407. The reversal of 5942400 is 42495.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (5942407) 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, 9291 + ... + 9909.

Almost surely, 2^5942400 is an apocalyptic number.

5942400 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 5942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802200).

5942400 is an abundant number, since it is smaller than the sum of its proper divisors (13662000).

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

5942400 is a wasteful number, since it uses less digits than its factorization.

5942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5942400 is about 2437.7038376308. The cubic root of 5942400 is about 181.1287099742.

Adding to 5942400 its reverse (42495), we get a palindrome (5984895).

The spelling of 5942400 in words is "five million, nine hundred forty-two thousand, four hundred".