5464400 has 60 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 2067840.

The previous prime is 5464399. The next prime is 5464411. The reversal of 5464400 is 44645.

It is a happy number.

It is a congruent number.

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, 7241 + ... + 7959.

It is an arithmetic number, because the mean of its divisors is an integer number (230640).

Almost surely, 2^5464400 is an apocalyptic number.

5464400 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 5464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

5464400 is an abundant number, since it is smaller than the sum of its proper divisors (8374000).

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

5464400 is a wasteful number, since it uses less digits than its factorization.

5464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

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

The square root of 5464400 is about 2337.6056125874. The cubic root of 5464400 is about 176.1357423874.

The spelling of 5464400 in words is "five million, four hundred sixty-four thousand, four hundred".