441600 has 108 divisors (see below), whose sum is σ = 1520736. Its totient is φ = 112640.

The previous prime is 441587. The next prime is 441607. The reversal of 441600 is 6144.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 441600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441607) 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, 19189 + ... + 19211.

2⁴⁴¹⁶⁰⁰ is an apocalyptic number.

441600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

441600 is the 384-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760368).

441600 is an abundant number, since it is smaller than the sum of its proper divisors (1079136).

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

441600 is a wasteful number, since it uses less digits than its factorization.

441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 441600 is about 664.5299090334. The cubic root of 441600 is about 76.1511304785.

Adding to 441600 its reverse (6144), we get a palindrome (447744).

The spelling of 441600 in words is "four hundred forty-one thousand, six hundred".