744950400 has 192 divisors, whose sum is σ = 2489632320. Its totient is φ = 195747840.

The previous prime is 744950299. The next prime is 744950411. The reversal of 744950400 is 4059447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 700269 + ... + 701331.

It is an arithmetic number, because the mean of its divisors is an integer number (12966835).

Almost surely, 2^744950400 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 744950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244816160).

744950400 is an abundant number, since it is smaller than the sum of its proper divisors (1744681920).

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

744950400 is a wasteful number, since it uses less digits than its factorization.

744950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 744950400 is about 27293.7795110901. The cubic root of 744950400 is about 906.5166514585.

The spelling of 744950400 in words is "seven hundred forty-four million, nine hundred fifty thousand, four hundred".