1463224 has 64 divisors (see below), whose sum is σ = 3499200. Its totient is φ = 559104.

The previous prime is 1463221. The next prime is 1463233. The reversal of 1463224 is 4223641.

1463224 = T₁₉₅ + T₁₉₆ + ... + T₂₅₂.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1463195 and 1463204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27582 + ... + 27634.

It is an arithmetic number, because the mean of its divisors is an integer number (54675).

2^1463224 is an apocalyptic number.

1463224 is a gapful number since it is divisible by the number (14) 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 1463224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749600).

1463224 is an abundant number, since it is smaller than the sum of its proper divisors (2035976).

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

1463224 is a wasteful number, since it uses less digits than its factorization.

1463224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 1463224 is about 1209.6379623673. The cubic root of 1463224 is about 113.5281616160.

Adding to 1463224 its reverse (4223641), we get a palindrome (5686865).

The spelling of 1463224 in words is "one million, four hundred sixty-three thousand, two hundred twenty-four".