743908 has 36 divisors (see below), whose sum is σ = 1508220. Its totient is φ = 320320.

The previous prime is 743891. The next prime is 743917. The reversal of 743908 is 809347.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 278784 = 682^2 + 528^2 .

It is a super-2 number, since 2×743908² = 1106798224928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 743908.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14010 + ... + 14062.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁷⁴³⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

743908 is an abundant number, since it is smaller than the sum of its proper divisors (764312).

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

743908 is a wasteful number, since it uses less digits than its factorization.

743908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 743908 is about 862.5010144922. The cubic root of 743908 is about 90.6093628192.

Adding to 743908 its product of nonzero digits (6048), we get a square (749956 = 866²).

The spelling of 743908 in words is "seven hundred forty-three thousand, nine hundred eight".