741949824 has 256 divisors, whose sum is σ = 2566287360. Its totient is φ = 184166400.

The previous prime is 741949807. The next prime is 741949843. The reversal of 741949824 is 428949147.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679519 + ... + 680609.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^741949824 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 741949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

741949824 is an abundant number, since it is smaller than the sum of its proper divisors (1824337536).

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

741949824 is a wasteful number, since it uses less digits than its factorization.

741949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 741949824 is about 27238.7559187273. The cubic root of 741949824 is about 905.2978981250.

The spelling of 741949824 in words is "seven hundred forty-one million, nine hundred forty-nine thousand, eight hundred twenty-four".