741217248 has 144 divisors (see below), whose sum is σ = 2165304960. Its totient is φ = 240438528.

The previous prime is 741217201. The next prime is 741217259. The reversal of 741217248 is 842712147.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064493 + ... + 2064851.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^741217248 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 741217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082652480).

741217248 is an abundant number, since it is smaller than the sum of its proper divisors (1424087712).

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

741217248 is a wasteful number, since it uses less digits than its factorization.

741217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 741217248 is about 27225.3052875445. The cubic root of 741217248 is about 904.9998465655. Note that the first 3 decimals are identical.

The spelling of 741217248 in words is "seven hundred forty-one million, two hundred seventeen thousand, two hundred forty-eight".