4364800 has 120 divisors (see below), whose sum is σ = 12177792. Its totient is φ = 1536000.

The previous prime is 4364797. The next prime is 4364809. The reversal of 4364800 is 84634.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4364809) 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, 140785 + ... + 140815.

Almost surely, 2^4364800 is an apocalyptic number.

4364800 is a gapful number since it is divisible by the number (40) 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 4364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088896).

4364800 is an abundant number, since it is smaller than the sum of its proper divisors (7812992).

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

4364800 is a wasteful number, since it uses less digits than its factorization.

4364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4364800 is about 2089.2103771521. The cubic root of 4364800 is about 163.4261123122.

The spelling of 4364800 in words is "four million, three hundred sixty-four thousand, eight hundred".