741003408 has 60 divisors (see below), whose sum is σ = 2088973068. Its totient is φ = 245191680.

The previous prime is 741003407. The next prime is 741003421. The reversal of 741003408 is 804300147.

It can be written as a sum of positive squares in 2 ways, for example, as 227165184 + 513838224 = 15072^2 + 22668^2 .

It is a super-2 number, since 2×741003408² = 1098172101335228928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741003407) by changing a digit.

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, 948 + ... + 38508.

Almost surely, 2^741003408 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 741003408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044486534).

741003408 is an abundant number, since it is smaller than the sum of its proper divisors (1347969660).

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

741003408 is a wasteful number, since it uses less digits than its factorization.

741003408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37712 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 741003408 is about 27221.3777755646. The cubic root of 741003408 is about 904.9128078549.

The spelling of 741003408 in words is "seven hundred forty-one million, three thousand, four hundred eight".