4465600 has 42 divisors (see below), whose sum is σ = 10992104. Its totient is φ = 1785600.

The previous prime is 4465561. The next prime is 4465603. The reversal of 4465600 is 65644.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 205 + ... + 2995.

Almost surely, 2^4465600 is an apocalyptic number.

4465600 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 4465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496052).

4465600 is an abundant number, since it is smaller than the sum of its proper divisors (6526504).

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

4465600 is a wasteful number, since it uses less digits than its factorization.

4465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4465600 is about 2113.1966306996. The cubic root of 4465600 is about 164.6745958981.

The spelling of 4465600 in words is "four million, four hundred sixty-five thousand, six hundred".