5434800 has 120 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 1240320.

The previous prime is 5434771. The next prime is 5434823. The reversal of 5434800 is 84345.

It is a happy number.

5434800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8077 + ... + 8723.

Almost surely, 2^5434800 is an apocalyptic number.

5434800 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 5434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

5434800 is an abundant number, since it is smaller than the sum of its proper divisors (14492496).

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

5434800 is a wasteful number, since it uses less digits than its factorization.

5434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5434800 is about 2331.2657506170. The cubic root of 5434800 is about 175.8171309964.

The spelling of 5434800 in words is "five million, four hundred thirty-four thousand, eight hundred".