4415600 has 120 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 1416960.

The previous prime is 4415591. The next prime is 4415633. The reversal of 4415600 is 65144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 53159 + ... + 53241.

It is an arithmetic number, because the mean of its divisors is an integer number (107632).

Almost surely, 2^4415600 is an apocalyptic number.

4415600 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 4415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

4415600 is an abundant number, since it is smaller than the sum of its proper divisors (8500240).

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

4415600 is a wasteful number, since it uses less digits than its factorization.

4415600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4415600 is about 2101.3329103214. The cubic root of 4415600 is about 164.0576834565.

4415600 divided by its sum of digits (20) gives a triangular number (220780 = T₆₆₄).

The spelling of 4415600 in words is "four million, four hundred fifteen thousand, six hundred".