741905424 has 240 divisors, whose sum is σ = 2329694640. Its totient is φ = 218972160.

The previous prime is 741905413. The next prime is 741905459. The reversal of 741905424 is 424509147.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 257025024 + 484880400 = 16032^2 + 22020^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8335972 + ... + 8336060.

It is an arithmetic number, because the mean of its divisors is an integer number (9707061).

Almost surely, 2^741905424 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 741905424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164847320).

741905424 is an abundant number, since it is smaller than the sum of its proper divisors (1587789216).

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

741905424 is a wasteful number, since it uses less digits than its factorization.

741905424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 741905424 is about 27237.9408913376. The cubic root of 741905424 is about 905.2798393888.

The spelling of 741905424 in words is "seven hundred forty-one million, nine hundred five thousand, four hundred twenty-four".