738408960 has 240 divisors, whose sum is σ = 2654267616. Its totient is φ = 196743168.

The previous prime is 738408959. The next prime is 738408967. The reversal of 738408960 is 69804837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (738408967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621487 + ... + 622673.

Almost surely, 2^738408960 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 738408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327133808).

738408960 is an abundant number, since it is smaller than the sum of its proper divisors (1915858656).

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

738408960 is an equidigital number, since it uses as much as digits as its factorization.

738408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 738408960 is about 27173.6813847517. The cubic root of 738408960 is about 903.8554602229.

The spelling of 738408960 in words is "seven hundred thirty-eight million, four hundred eight thousand, nine hundred sixty".