5446400 has 108 divisors (see below), whose sum is σ = 14446992. Its totient is φ = 2027520.

The previous prime is 5446391. The next prime is 5446417. The reversal of 5446400 is 46445.

It is a happy number.

5446400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147182 + ... + 147218.

Almost surely, 2^5446400 is an apocalyptic number.

5446400 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 5446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223496).

5446400 is an abundant number, since it is smaller than the sum of its proper divisors (9000592).

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

5446400 is a wasteful number, since it uses less digits than its factorization.

5446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5446400 is about 2333.7523433304. The cubic root of 5446400 is about 175.9421297342.

The spelling of 5446400 in words is "five million, four hundred forty-six thousand, four hundred".