4506400 has 72 divisors (see below), whose sum is σ = 11343024. Its totient is φ = 1747200.

The previous prime is 4506389. The next prime is 4506419. The reversal of 4506400 is 46054.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34335 + ... + 34465.

It is an arithmetic number, because the mean of its divisors is an integer number (157542).

Almost surely, 2^4506400 is an apocalyptic number.

4506400 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 4506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671512).

4506400 is an abundant number, since it is smaller than the sum of its proper divisors (6836624).

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

4506400 is a wasteful number, since it uses less digits than its factorization.

4506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4506400 is about 2122.8283020537. The cubic root of 4506400 is about 165.1745932744.

The spelling of 4506400 in words is "four million, five hundred six thousand, four hundred".