741924 has 36 divisors (see below), whose sum is σ = 1929564. Its totient is φ = 240192.

The previous prime is 741913. The next prime is 741929. The reversal of 741924 is 429147.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 381924 = 600^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741929) 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, 1054 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2⁷⁴¹⁹²⁴ is an apocalyptic number.

741924 is a gapful number since it is divisible by the number (74) 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 741924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964782).

741924 is an abundant number, since it is smaller than the sum of its proper divisors (1187640).

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

741924 is a wasteful number, since it uses less digits than its factorization.

741924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 741924 is about 861.3501030359. The cubic root of 741924 is about 90.5287394861.

The spelling of 741924 in words is "seven hundred forty-one thousand, nine hundred twenty-four".