741225600 has 384 divisors, whose sum is σ = 2838211200. Its totient is φ = 188559360.

The previous prime is 741225581. The next prime is 741225649. The reversal of 741225600 is 6522147.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1987014 + ... + 1987386.

It is an arithmetic number, because the mean of its divisors is an integer number (7391175).

Almost surely, 2^741225600 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 741225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419105600).

741225600 is an abundant number, since it is smaller than the sum of its proper divisors (2096985600).

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

741225600 is a wasteful number, since it uses less digits than its factorization.

741225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 741225600 is about 27225.4586738222. The cubic root of 741225600 is about 905.0032457175.

Adding to 741225600 its reverse (6522147), we get a palindrome (747747747).

The spelling of 741225600 in words is "seven hundred forty-one million, two hundred twenty-five thousand, six hundred".