745824 has 48 divisors (see below), whose sum is σ = 2077488. Its totient is φ = 233472.

The previous prime is 745817. The next prime is 745837. The reversal of 745824 is 428547.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 745791 and 745800.

It is a congruent number.

It is an unprimeable number.

745824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404 + ... + 1860.

It is an arithmetic number, because the mean of its divisors is an integer number (43281).

2⁷⁴⁵⁸²⁴ 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 745824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038744).

745824 is an abundant number, since it is smaller than the sum of its proper divisors (1331664).

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

745824 is a wasteful number, since it uses less digits than its factorization.

745824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 745824 is about 863.6110235517. The cubic root of 745824 is about 90.6870869038.

The spelling of 745824 in words is "seven hundred forty-five thousand, eight hundred twenty-four".