1463424 has 64 divisors (see below), whose sum is σ = 4031040. Its totient is φ = 470016.

The previous prime is 1463359. The next prime is 1463447. The reversal of 1463424 is 4243641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1463394 and 1463403.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14157 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

2^1463424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015520).

1463424 is an abundant number, since it is smaller than the sum of its proper divisors (2567616).

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

1463424 is a wasteful number, since it uses less digits than its factorization.

1463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1463424 is about 1209.7206289057. The cubic root of 1463424 is about 113.5333338927.

It can be divided in two parts, 146 and 3424, that added together give a triangular number (3570 = T₈₄).

The spelling of 1463424 in words is "one million, four hundred sixty-three thousand, four hundred twenty-four".