743848 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 309312.

The previous prime is 743837. The next prime is 743849. The reversal of 743848 is 848347.

743848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 743848.

It is not an unprimeable number, because it can be changed into a prime (743849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1893 + ... + 2251.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2⁷⁴³⁸⁴⁸ 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 743848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

743848 is an abundant number, since it is smaller than the sum of its proper divisors (897752).

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

743848 is a wasteful number, since it uses less digits than its factorization.

743848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 743848 is about 862.4662312230. The cubic root of 743848 is about 90.6069267169.

It can be divided in two parts, 7 and 43848, that multiplied together give a triangular number (306936 = T₇₈₃).

The spelling of 743848 in words is "seven hundred forty-three thousand, eight hundred forty-eight".